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[" What is the angle between "],[vec P" and the resultant of "],[(vec P+vec Q)" and "(vec P-vec Q)?]

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Three vectors vec(P) , vec(Q) and vec( R) are such that |vec(P)| , |vec(Q )|, |vec(R )| = sqrt(2) |vec(P)| and vec(P) + vec(Q) + vec(R ) = 0 . The angle between vec(P) and vec(Q) , vec(Q) and vec(R ) and vec(P) and vec(R ) are