Show that the vectors na + mb

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Let A and B be two vectors and set m = magnitude(A), n = magnitude(B).

a.) Show that the vectors nA + mB and nA - mB are orthogonal

b.) If C = (nA + mB)/(m+n), show that the angle between A and C is the same as the angle between B and C.

Reference no: EM13854335

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