Using vector prove that if the diagonals of a parallelogram are equal in length then it is a rectangle - Maths - Vector Algebra

Question

Using vector prove that if the diagonals of a parallelogram are
equal in length then it is a rectangle

Priyanka Kedia · Accepted Answer

Given That: Let OACB be the parallelogram and diagonals are equal To Prove: if diagonals are equal, OACB is a rectangle Construction: draw a parallelogram and join the diagonal Proof: Let

and

, then

(parallelogram law)

Since

(given) So,

Hence, OACB is a rectangle

Using vector prove that if the diagonals of a parallelogram are equal in length then it is a rectangle.