Question: Consider the parallelogram with adjacent sides u and v. a. Show that the diagonals of the parallelogram are u + v and u - v.

Consider the parallelogram with adjacent sides u and v.

a. Show that the diagonals of the parallelogram are u + v and u - v.

b. Prove that the diagonals have the same length if and only if u • v = 0.

c. Show that the sum of the squares of the lengths of the diagonals equals the sum of the squares of the lengths of the sides.

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