Let u, v, and w be in Rn, and let c be a scalar. Prove each partof Theorem 8.2.(a) u v =

Chapter 8, Problem 62

(choose chapter or problem)

Let u, v, and w be in Rn, and let c be a scalar. Prove each partof Theorem 8.2.(a) u v = v u(b) (u + v) w = u w + v w(c) (cu) v = u (cv) = c(u v)(d) u u 0, and u u = 0 only when u = 0

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