Question: Suppose we know that u v = u w. Does it follow that v = w? If it does, give a proof that

Suppose we know that u · v = u · w. Does it follow that v = w? If it does, give a proof that is valid in Rn; otherwise, give a counterexample (i.e., a specific set of vectors u, v, and w for which u · v = u · w but v ≠ w).

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