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Prove that if A and B are vectors, then the vectors lBl A + lAl B and lBl A - lAl B are orthogonal such

Prove that if A and B are vectors, then the vectors lBl A + lAl B and lBl A - lAl B are orthogonal such that A=(a1,a2,a3); B=(b1,b2,b3); IAI=(a12 ,a22 ,a32 );IBI=(b12 ,b22 ,b32 )

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