The Cauchy-Schwarz inequality says that if a = (a1,..., an) and b = (b1,..., bn) are two vectors in R", then lā · b|

Extracted text: The Cauchy-Schwarz inequality says that if a = (a1,..., an) and b = (b1,..., bn) are two vectors in R", then lā · b| < |||||.="" in="" this="" exercise="" you="" will="" give="" a="" proof="" of="" this="" inequality="" using="" multivariable="" calculus.="" (a)="" assume="" that="" the="" inequality="" is="" true="" for="" all="" 6="" e="" r"="" with="" ||b||="" the="" inequality="" must="" then="" be="" true="" for="" all="" be="" r".="" 1.="" deduce="" from="" this="">