z(1), z(2), z(3), z(4) are distinct coml...

`z_(1), z_(2), z_(3), z_(4)` are distinct comlex number representing the vertices of a quadrilateral ABCD taken in order. If `z_(1)- z_(4)= z_(2)-z_(3)` and arg `[(z_(4)-z_(1))//(z_(2)-z_(1))]= pi//2`, then prove that quadrilateral is rectangle.

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`z_(1), z_(2), z_(3), z_(4)` are distinct comlex number representing the vertices of a quadrilateral ABCD taken in order. If `z_(1)- z_(4)= z_(2)-z_(3)` and arg `[(z_(4)-z_(1))//(z_(2)-z_(1))]= pi//2`, then prove that quadrilateral is rectangle.

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