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Консультация № 194007
26.11.2018, 15:57
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Cоставить общее уравнение плоскости, проходящей через точку A(3,-4,1) параллельно координатной плоскости Oxz.
Cоставить общее уравнение плоскости, проходящей через точку A(3,-4,1) параллельно координатной плоскости Oxz.
Обсуждение
26.11.2018, 16:03
общий
Адресаты:
Я уверен, что Вы сами выполните это задание после того, как прочитаете эту статью. Сообщите, пожалуйста, что у Вас получилось.
Об авторе:
Facta loquuntur.
Facta loquuntur.
26.11.2018, 16:47
общий
Адресаты:
нормальным вектором плоскости Oxz является какой координатный вектор ?
k(0,1,0) ?
k(0,1,0) ?
26.11.2018, 16:55
общий
Адресаты:
danil-rozhkov-0 нормальным вектором плоскости Oxz является какой координатный вектор ?
k(0,1,0) ?
Да.
Об авторе:
Facta loquuntur.
Facta loquuntur.
26.11.2018, 17:50
общий
Адресаты:
danil-rozhkov-0 Ответ:y+4=0?
Да.
Об авторе:
Facta loquuntur.
Facta loquuntur.
27.11.2018, 21:08
общий
это ответ
Здравствуйте, danil-rozhkov-0!
Чтобы ответить на Ваш вопрос, можно поступить формально, установив сначала, что нормальный вектор единичной длины к плоскости
суть вектор
Плоскость, общее уравнение которой нужно вывести, параллельна плоскости и поэтому у неё тот же нормальный вектор. Тогда, как указано, например, здесь, учитывая, что плоскость, общее уравнение которой нужно вывести, проходит через точку 
это уравнение имеет вид
или
Можно поступить менее формально, исходя из наглядных представлений. Поскольку плоскость, общее уравнение которой нужно вывести, параллельна плоскости
и проходит через точку постольку искомое уравнение имеет вид
или
Чтобы ответить на Ваш вопрос, можно поступить формально, установив сначала, что нормальный вектор единичной длины к плоскости
суть векторПлоскость, общее уравнение которой нужно вывести, параллельна плоскости
и поэтому у неё тот же нормальный вектор. Тогда, как указано, например, здесь, учитывая, что плоскость, общее уравнение которой нужно вывести, проходит через точку это уравнение имеет видили
Можно поступить менее формально, исходя из наглядных представлений. Поскольку плоскость, общее уравнение которой нужно вывести, параллельна плоскости
и проходит через точку постольку искомое уравнение имеет видили
Об авторе:
Facta loquuntur.
Facta loquuntur.
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