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Консультация № 190115
21.11.2016, 19:20
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: 
Заранее спасибо!!!
Заранее спасибо!!!
Обсуждение
21.11.2016, 22:50
общий
это ответ
Здравствуйте, ms.nastasya2512!
Направляющий вектор прямой
Нормальный вектор плоскости
Найдем скалярное произведение
Так как скалярное произведение нормального вектора плоскости и направляющего вектора прямой равно О, значит вектора перпендикулярны, значит прямая параллельная плоскости.
Найдем расстояние между прямой и плоскостью.
Точка (0,0,0) принадлежит прямой, найдем расстояние от точки до плоскости, это и будет искомым расстоянием.
Направляющий вектор прямой
Нормальный вектор плоскости
Найдем скалярное произведение
Так как скалярное произведение нормального вектора плоскости и направляющего вектора прямой равно О, значит вектора перпендикулярны, значит прямая параллельная плоскости.
Найдем расстояние между прямой и плоскостью.
Точка (0,0,0) принадлежит прямой, найдем расстояние от точки до плоскости, это и будет искомым расстоянием.
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