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Statement 1: If | vec a+ vec b|=| vec a-...

Statement 1: If `| vec a+ vec b|=| vec a- vec b|`, then `vec a` and `vec b` are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude, then the parallelogram is a rectangle.

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Statement 1:|vec a|=3,|vec b|=4and|vec a+vec b|=5, then |vec a-vec b|=5 statement 2: The length of the diagonals of a rectangle is the same.