Question: a. Since u v = |u ||v| cos , show that the inequality |u v| |u||v| holds for any vectors u and

a. Since u · v = |u ||v| cos θ, show that the inequality |u · v| ≤ |u||v| holds for any vectors u and v.

b. Under what circumstances, if any, does |u · v| equal |u||v|? Give reasons for your answer.

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