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Консультация № 200142
23.01.2021, 09:51
0.00 руб.
1
1
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Найти точку пересечения прямой, заданной каноническими уравнениями, и плоскости (x+3/1)=(y-2/-5)=(z+2/3),
5x-y+4z+3=0.
Найти точку пересечения прямой, заданной каноническими уравнениями, и плоскости (x+3/1)=(y-2/-5)=(z+2/3),
5x-y+4z+3=0.
Прикрепленные файлы:
Обсуждение
23.01.2021, 10:49
общий
это ответ
Здравствуйте, Alex!
Перейдем к параметрическим уравнениям прямой:
Подставим параметрические уравнения прямой в уравнение плоскости
:
Подставим найденное значение параметра
в параметрические уравненя прямой и найдем координаты точки пересечения данных прямой и плоскости:
- точка пересечения прямой 
и плоскости
Ответ:
Перейдем к параметрическим уравнениям прямой:
Подставим параметрические уравнения прямой в уравнение плоскости
:Подставим найденное значение параметра
в параметрические уравненя прямой и найдем координаты точки пересечения данных прямой и плоскости: - точка пересечения прямой и плоскости Ответ:
5
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