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Консультация № 194126
08.12.2018, 00:51
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: требуется написать каноническое уравнение прямой, проходящей через точку(−2,7,1) параллельно плоскостям Γ1 :3x+5y−4z= −1 и Γ2 :2x−z= −3.
Заранее спасибо за ваш ответ!
Заранее спасибо за ваш ответ!
Обсуждение
11.12.2018, 06:59
общий
это ответ
Здравствуйте, sasha181999_9!
Прямая, уравнения которой требуется вывести, направлена перпендикулярно нормальным векторам
и 
заданных плоскостей. Её направляющим вектором является любой вектор вида 
Вычислим координаты векторного произведения указанных выше нормальных векторов плоскостей; получим
За направляющий примем вектор
Тогда искомые уравнения прямой суть
Прямая, уравнения которой требуется вывести, направлена перпендикулярно нормальным векторам
и заданных плоскостей. Её направляющим вектором является любой вектор вида Вычислим координаты векторного произведения указанных выше нормальных векторов плоскостей; получимЗа направляющий примем вектор
Тогда искомые уравнения прямой суть
Об авторе:
Facta loquuntur.
Facta loquuntur.
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