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Консультация № 189715
24.08.2016, 20:06
0.00 руб.
24.08.2016, 20:12
1
1
1
Здравствуйте! У меня возникли сложности с таким вопросом ( № 1 ):
Прикрепленные файлы:
Обсуждение
24.08.2016, 21:49
общий
это ответ
Здравствуйте, anton74551!
Воспользуемся определением скалярного произведения двух векторов и его свойствами. Обозначим искомый угол через
Получим
Примем
и разделим уравнения 
на 
Получим
Вычтем из уравнения
уравнение 
Получим
Подставим выражение
в уравнение 
Получим
Если
то 
Значение 
не подходит по смыслу как отношение длин двух векторов.
Воспользуемся определением скалярного произведения двух векторов и его свойствами. Обозначим искомый угол через
ПолучимПримем
и разделим уравнения на ПолучимВычтем из уравнения
уравнение ПолучимПодставим выражение
в уравнение ПолучимЕсли
то Значение не подходит по смыслу как отношение длин двух векторов.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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