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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Даны координаты точек А, В, С. Требуется: 1) записать АВ и АС в системе орт и найти модули этих векторов; 2) найти угол между векторами АВ и АС ; 3) составить уравнение плоскости, проходящей через точку С перпендикулярно вектору АВ . . А(-6; 0; 0), В(-1; 1; 0), С(-3; 5; 4). СПАСИБО!
Подскажите пожалуйста! Даны векторы a , a , a , b 1 2 3 . Показать, что векторы 1 2 3 a , a , a образуют базис трехмерного пространства и найти координаты вектора b в этом базисе. 1a (3; 1; 6), 2a (-2; 2; -3), 3a (-4; 5; -1), b (3; 0; 1)
Консультация, созданная Вами, посвящена одной задаче, а именно, этой: Цитата: lobislana
Даны координаты точек А, В, С. Требуется: 1) записать АВ и АС в системе орт и найти модули этих векторов; 2) найти угол между векторами АВ и АС ; 3) составить уравнение плоскости, проходящей через точку С перпендикулярно вектору АВ . . А(-6; 0; 0), В(-1; 1; 0), С(-3; 5; 4).
Даны векторы a , a , a , b 1 2 3 . Показать, что векторы 1 2 3 a , a , a образуют базис трехмерного пространства и найти координаты вектора b в этом базисе. 1a (3; 1; 6), 2a (-2; 2; -3), 3a (-4; 5; -1), b (3; 0; 1)
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lobislana 
Вектор 
-- нормальный вектор этой плоскости. Следовательно,
-- искомое уравнение плоскости.