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If A x B = A x C, and A, B, C are nonzero vectors, does it follow that B =C ? Explain.

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No. AxB = |A| * |B| * sinθ
AxC = |A| * |C| * sinØ
So, as long as |B| sinθ = |C| sinØ and A,B,C are co-planar, things will be equal.

If A,B and A,C form parallelograms of equal area, AxB = AxC
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