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If |vector A + vector B| (magnitude of sum of vectors A and B) = |vector A + vector B| (magnitude of difference between vectors A and B), how can we show that theta is equal to pi/2?

I know that vector A - vector B can be equal to the sum of vectors A and B if vector B is a null vector, but with magnitudes, angles, I'm all confused.

Please help.....

I know that vector A - vector B can be equal to the sum of vectors A and B if vector B is a null vector, but with magnitudes, angles, I'm all confused.

Please help.....

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