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๐Ÿ—‘๏ธ ๐Ÿงต Help i dont get vectors

Anonymous No. 16086745

>This is a perfect cube
>AB=u
>AD=v
>AA'=w

How do i prove that CA' is perpendicular to BC'D?

Anonymous No. 16086746

Like planes don't work with my brain...

I know i should do the whole V1โ€ขV2=0 thing for 2 vectors but how do planes function?

elipo No. 16086847

>>16086745
so basically, you do the scalar product of A'C with two of the vectors in the DBC' plane, and you end up finding 0 as a result for both, so if A'C is perpendicular to two non-parallel vectors defining the plane, then it is perpendicular to the plane

Anonymous No. 16086864

>>16086745
take the cross product of BD and BC' and then check that the result is a multiple of CA'

Anonymous No. 16086965

>>16086745
>homework thread