Show that if u and v are any vectors in R2, then _u + v_2 (_u_ + _v_)2 and hence _u + v_

Chapter 5, Problem 13

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Show that if u and v are any vectors in R2, then _u + v_2 (_u_ + _v_)2 and hence _u + v_ _u_ + _v_. When does equality hold? Give a geometric interpretation of the inequality. 1

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