如图,在空间直角坐标系中有长方体ABCD-A′B′C′D′,AB=1,BC=2,AA′=3求：（1）向量AC′,向量BD′,AD′的坐标..

Question

如图,在空间直角坐标系中有长方体ABCD-A′B′C′D′,AB=1,BC=2,AA′=3
求：（1）向量AC′,向量BD′,AD′的坐标
..

Answer 1

这个长方体画得真歪.
AC' = OC' = (1,2,3)
BD' = OD' - OB = (0,2,3) - (1,0,0) = (-1,2,3)
AD' = OD' = (0,2,3)