Let ` vec a , vec b , vec c , vec d` be the position vectors of the four distinct points `A , B ...

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==== QUESTION TEXT ====

Let ` vec a , vec b , vec c , vec d` be the position vectors of the four distinct points `A , B , C , Ddot` If ` vec b- vec a= vec a- vec d ,` then show that `A B C D` is parallelogram.

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