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Консультация № 201698
18.11.2021, 23:49
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Здравствуйте! Прошу помощи в следующем вопросе:
Помогите пожалуйста решить данную задачу!
Найти вектор x длины корень из 11, коллинеарный вектору a = ( 9,3,-3) и образующий с вектором b = ( -2,-1,-5) тупой угол.
Помогите пожалуйста решить данную задачу!
Найти вектор x длины корень из 11, коллинеарный вектору a = ( 9,3,-3) и образующий с вектором b = ( -2,-1,-5) тупой угол.
Обсуждение
19.11.2021, 03:49
общий
Адресаты:
Какую именно помощь Вы хотите?
Если Вы нуждаетесь в знаниях о векторах в пространстве, то я рекомендую Вам почитать замечательную учебную статью "Векторы для чайников. Действия с векторами. Координаты вектора. Простейшие задачи с векторами" Ссылка .
Дальше сами справитесь?
Если Вы нуждаетесь в знаниях о векторах в пространстве, то я рекомендую Вам почитать замечательную учебную статью "Векторы для чайников. Действия с векторами. Координаты вектора. Простейшие задачи с векторами" Ссылка .
Дальше сами справитесь?
19.11.2021, 06:01
общий
Адресаты:
Вычислите, пожалуйста, сначала скалярное произведение 
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.11.2021, 18:03
общий
это ответ
Здравствуйте, ITcrab!
Предлагаю Вам следующее решение задачи.
Вычислим скалярное произведение заданных векторов:
Скалярное произведение оказалось отрицательным, значит, угол между заданными векторами тупой.
Вычислим модуль вектора
Вычислим координаты искомого вектора, который сонаправлен с вектором
и имеет длину 
то есть в три раза короче вектора 
Для этого каждую из координат вектора разделим на 
и припишем полученные результаты соответствующим координатам искомого вектора. Тогда будем иметь
-- координаты искомого вектора.
Предлагаю Вам следующее решение задачи.
Вычислим скалярное произведение заданных векторов:
Скалярное произведение оказалось отрицательным, значит, угол между заданными векторами тупой.
Вычислим модуль вектора
Вычислим координаты искомого вектора, который сонаправлен с вектором
и имеет длину то есть в три раза короче вектора Для этого каждую из координат вектора разделим на и припишем полученные результаты соответствующим координатам искомого вектора. Тогда будем иметь-- координаты искомого вектора.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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