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Задать вопрос экспертам

Консультация № 138110

27.05.2008, 17:18

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Образование

Уважаемые эксперты! Помогите, пожалуйста, решить задачу по высшей математике...
Задача:
Сделать вывод уравнения плоскости, проходящей через точку А перпендикулярно вектору ВС.
А(-3,1,0) В(6,3,3); С(9,4,-2)
Добавляйте коментарии к вычеслениям...
Заранее спасибо...

Обсуждение

Неизвестный

27.05.2008, 19:20

общий

это ответ

Здравствуйте, Уманский Денис!
Найдем координаты вектора ВС:
ВС{9-6; 4-3; -2-3} = {3; 1; -5}
Тогда искомая плоскость представляется уравнением:
3(х-(-3)) + 1(y-1) + (-5)(z-0) = 0
3x + 9 + y - 1 - 5z = 0
3x + y - 5z + 8 = 0

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