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

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