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Консультация № 199381
22.10.2020, 12:48
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Задача №6 прикрепленный файл
Задача №6 прикрепленный файл
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Обсуждение
28.10.2020, 06:30
общий
это ответ
Здравствуйте, alekseyslobodyanyuk20003!
Если точка M[sub]0[/sub] принадлежит плоскости, а вектор M[sub]1[/sub]M[sub]2[/sub] перпендикулярен плоскости, то для произвольной точки плоскости M(x, y, z) будет выполняться условие
откуда следует, что
В данном случае для M[sub]0[/sub](2, -1, 3), M[sub]1[/sub](0, 5, 1), M[sub]2[/sub](-1, 2, 2) имеем
и
откуда x + 3y - z + 4 = 0 - искомое уравнение плоскости.
Если точка M[sub]0[/sub] принадлежит плоскости, а вектор M[sub]1[/sub]M[sub]2[/sub] перпендикулярен плоскости, то для произвольной точки плоскости M(x, y, z) будет выполняться условие
откуда следует, что
В данном случае для M[sub]0[/sub](2, -1, 3), M[sub]1[/sub](0, 5, 1), M[sub]2[/sub](-1, 2, 2) имеем
и
откуда x + 3y - z + 4 = 0 - искомое уравнение плоскости.
5
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