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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 1

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_k-01-s-08].gif = 2, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-04].gif = 3, а угол между ними равен 120°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; –2}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {–2; 3}.
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gif {3; –4}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif {15; 8}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {2; –3} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {х; –4}. При каком значении х эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {ху} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–ух}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 1

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_k-01-s-08].gif = 2, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-04].gif = 3, а угол между ними равен 120°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; –2}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {–2; 3}.
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gif {3; –4}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif {15; 8}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {2; –3} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {х; –4}. При каком значении х эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {ху} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–ух}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 1

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_k-01-s-08].gif = 2, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-04].gif = 3, а угол между ними равен 120°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; –2}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {–2; 3}.
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gif {3; –4}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif {15; 8}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {2; –3} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {х; –4}. При каком значении х эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {ху} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–ух}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 1

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_k-01-s-08].gif = 2, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-04].gif = 3, а угол между ними равен 120°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; –2}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {–2; 3}.
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gif {3; –4}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif {15; 8}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {2; –3} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {х; –4}. При каком значении х эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {ху} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–ух}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 1

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_k-01-s-08].gif = 2, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-04].gif = 3, а угол между ними равен 120°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; –2}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {–2; 3}.
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gif {3; –4}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif {15; 8}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {2; –3} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {х; –4}. При каком значении х эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {ху} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–ух}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 1

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_k-01-s-08].gif = 2, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-04].gif = 3, а угол между ними равен 120°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; –2}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {–2; 3}.
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-03].gif {3; –4}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-04].gif {15; 8}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {2; –3} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {х; –4}. При каком значении х эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {ху} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–ух}.



Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 2

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-02]_[tq_s-02-s-03].gif = 3, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-08].gif = 4, а угол между ними равен 135°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–4; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–5; 4).
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–12; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {3; 4}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {2; –6}. При каком значении у эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-01].gif {х; –у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-05].gif {yх}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 2

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-02]_[tq_s-02-s-03].gif = 3, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-08].gif = 4, а угол между ними равен 135°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–4; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–5; 4).
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–12; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {3; 4}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {2; –6}. При каком значении у эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-01].gif {х; –у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-05].gif {yх}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 2

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-02]_[tq_s-02-s-03].gif = 3, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-08].gif = 4, а угол между ними равен 135°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–4; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–5; 4).
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–12; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {3; 4}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {2; –6}. При каком значении у эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-01].gif {х; –у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-05].gif {yх}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 2

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-02]_[tq_s-02-s-03].gif = 3, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-08].gif = 4, а угол между ними равен 135°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–4; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–5; 4).
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–12; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {3; 4}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {2; –6}. При каком значении у эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-01].gif {х; –у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-05].gif {yх}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 2

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-02]_[tq_s-02-s-03].gif = 3, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-08].gif = 4, а угол между ними равен 135°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–4; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–5; 4).
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–12; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {3; 4}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {2; –6}. При каком значении у эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-01].gif {х; –у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-05].gif {yх}.

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Самостоятельная работа «Скалярное произведение векторов» (9 класс)

Вариант 2

1. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-02]_[tq_s-02-s-03].gif = 3, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-08].gif = 4, а угол между ними равен 135°.


2. Вычислите скалярное произведение векторов c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–4; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {–5; 4).
3. Вычислите косинус угла между векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gifи c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif, если c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-01].gif {–12; 5}, c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-02].gif {3; 4}.
4. Даны векторы c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-09].gif {3; у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_09-03]_[tq_s-01-s-10].gif {2; –6}. При каком значении у эти векторы перпендикулярны?

5. Найдите угол между ненулевыми векторами c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-01].gif {х; –у} и c:\program files\1c education\1ce4\1ceduweb\data\edu_main\res\dl_res_6a7135c6-c547-4cf6-abed-82df427d0d3e\[g79_11-03]_[tq_s-03]_files\[g79_11-03]_[tq_s-03-s-05].gif {yх}.