Let V be an inner product space. Show the following (a) 11011 = o. (b) (u. 0) = (0. u) =

Chapter 5, Problem 7

(choose chapter or problem)

Let V be an inner product space. Show the following (a) 11011 = o. (b) (u. 0) = (0. u) = 0 for any u in V. (c) If(u . v) =Oforall ,. in V. then u = 0. (d) If (u . w) = (v. w) for all w in V. then u = v. (e) If (w . u) = (w . v) for all w in V. then u = v.

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