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Здравствуйте! Прошу помощи в следующем вопросе: Помогите решить следующее задание. Сам не успеваю. Сдавать нужно уже в понедельник, а я должен выйти на работу в выходные. Найдите точку пересечения прямых (x+3)/1=(y+1)/2=(z+1)/1 и (x=3z-4; y=z+2) - это система уравнений. Я не знаю, как её правильно изобразить на компьютере. Надеюсь, поймёте. Прошу дать ответ поподробнее .
Здравствуйте, Посетитель - 383833! Запишем уравнение первой прямой в параметрическом виде: (x+3)=(y+1)/2=z+1=t x+3=t, y+1=2t, z+1=t x=t-3, y=2t-1, z=t-1 Вторая линия задана как пересечение двух плоскостей. Подставляя значения x,y и z в уравнения, получим: t-3=3(t-1)-4 -> -2t=-4 -> t=2 2t-1=t-1+2 -> t=2 Точка, соответствующая параметру t=2, удовлетворяет уравнениям обеих прямых и соответственно является точкой их пересечения. Подставляя t=2, получим: x=2-3=-1, y=2*2-1=3, z=2-1=1. Точка пересечения (-1;3;1)
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