FULL-DETAILED SOLUTION WITH CORRECT NOTATIONS PLEASE.
onsider the function f : R3 x R3 -? M defined by , where 6,c G R. Let = [l 1 1] , X2 = [l 1 -4] , and x$ = [3 -2 0] . Determine b and c such that f(x[,lrj) = f{x\,5%) =f(x2.X3) = 0. Then either prove directly from the definition that /. using these values for 6 and c, is an inner product or give a counterexample to show that it is not. Let V be a finite-dimensional inner product space. Prove that for all have the inner product (p(x),
