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Указанные векторы образуют базис в трёхмерном пространстве, если они некомпланарны. При этом их смешанное произведение не равно нулю. Чтобы уменьшить количество арифметических операций, преобразуем выражения для векторов так:
Вычислим смешанное произведение этих векторов:
Значит, указанные векторы не образуют базиса.
Об авторе:
Facta loquuntur.
Форма ответа
Отправка постов/ответов доступна только зарегистрированным и подтвержденным пользователям.
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Гордиенко Андрей Владимирович 
