the sum and difference of two perpendicular vector of equal length then??
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(A vector + B Vector). (A vector - B vector) =0
(a²-b²=(a+b) (a-b))
(A vector) ²-( B vector) ²=0, (A.B. Vector = AB cos thita)
(A vector)²=(B vector) ²
So A vector =B vector
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