given the four points:

A= (1,4,-2) B=(5,6,-2) C=(3,0,2) D=(7,2,2)

show that ABCD is a parallelogram using vectors.

is it a parallelogram? square? rhombus?

if I'm correct, in order for vectors to be parallel, they must be scalar multiples of one another. So i found the vectors of these points, but I got

vector AB= <4,2,-4>

vector BC=<-2,-6,4>

vector CD= <4,2,0>

vector AD= <-6,2,4>

not sure what I did wrong