In this exercise, we prove the CauchySchwarz inequality: If v and w are any two vectors
Chapter 12, Problem 91(choose chapter or problem)
In this exercise, we prove the CauchySchwarz inequality: If v and w are any two vectors, then |v w|v w 6 (a) Let f (x) = xv + w2 for x a scalar. Show that f (x) = ax2 + bx + c, where a = v2, b = 2v w, and c = w2. (b) Conclude that b2 4ac 0. Hint: Observe that f (x) 0 for all x. 92. Use (
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