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Консультация № 195576
11.05.2019, 03:47
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Здравствуйте! У меня возникли сложности с таким вопросом:
Написать уравнение прямой, проходящей через точку (1,2) и перпендикулярную вектору (3,-5).
Написать уравнение прямой, проходящей через точку (1,2) и перпендикулярную вектору (3,-5).
Обсуждение
11.05.2019, 04:45
общий
это ответ
Здравствуйте, svetuta36!
Уравнение прямой по направляющему вектору (3; - 5) выглядит следующим образом:
Отсюда можно получить уравнение этой прямой с угловым коэффициентом
Уравнение прямой, которая перпендикулярна данной выглядит так:
Так как она проходит через точку
, то подставив ее в уравнение, определим 
Итак искомое уравнение:
Уравнение прямой по направляющему вектору (3; - 5) выглядит следующим образом:
Отсюда можно получить уравнение этой прямой с угловым коэффициентом
Уравнение прямой, которая перпендикулярна данной выглядит так:
Так как она проходит через точку
, то подставив ее в уравнение, определим Итак искомое уравнение:
то прямая, которая проходит через точку 
перпендикулярно этому вектору, имеет общее уравнение 
Следовательно,
-- общее уравнение прямой.
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