The Cauchy-Schwarz inequality says that if d = vectors in R", (a1,..., an) and 6 = (b1,..., bn) are two then In this exercise you will give a proof of this inequality using multivariable calculus. (a) Assume that the inequality is true for all 5 e R" with ||6|| = 1. Deduce from this that the inequality must then be true for all b E R".

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