Show that the necessary and sufficient condition fortwo nonzero vectors A and B be perpendicular is that A•B=0?
Show that the necessary and sufficient condition for two nonzero vectors A and B be perpendicular is that A•B=0
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Since A • B = |A| |B| cos <(A,B), A is perpendicular to B if and only if cos <(A,B) = 0, which occurs if and only if A • B = 0.