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.

Explanation

Given :

`vec{vec{b}}, vec{vec{b}}, vec{vec{c}}, vec{vec{d}}` are the position vectors of the four distinct points A, B, C, D

So ,`vec{ABCD}` will be a quadrilateral

And also here we get ,


`vec{vec{b}}-vec{vec{a}}=vec{vec{c}}-vec{vec{d}}`



...