2. CAUCHY SCHWARTZ INEQUALITY For Cauchy Scwhartz inequality read p19 of 0 Inner Product Fin Dim Question 3.[4, 2 marks] Consider the normed spaces (RN, ||- |1) and (RN, ||- ||2). Prove that: (a) x1 < Mx||2 for all x € RN for some constant M > 0. (HINT: Use the Cauchy-Schwartz inequality in the inner-product space (RN, ||-||2).) (b) Give a geometrical interpretation of (a). 1

Fig: 1