In real-number multiplication, if uv = uw and u # 0, we can cancel u and conclude that v = w. Does the same rule hold for the dot product? That is, if u · v = u · w and u + 0, can you conclude that v = w? Give an explanation or counterexample for your answer.

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.