(a1, a2, ..., an) and b = (b1, b2, ..., bn) be any two vectors in R". The inner product (b) Let a = (dot product) of these two vectors are defined as a · b = a¡b1 + azb2 + · · · + anbn, and also the norms of these vectors are defined as a+品+ + a유, ||6|| = Vb.b = Vbị + b3 + + b%. = V Prove the Cauchy-Schwarz inequality (a · b)? < |lä|l2||b|l?, that is the inequality (abı + azb2 +.+ anbn)² < (a² + a3 + + a)(b? + b3 + + b). fly) )2 12 12 onnlu (n) Uint Con ati
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Part (b)
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