Let x, y, and z be vectors in R3. Show each of the following: (a) x x = 0 (b) y x = (x y) (c) x (y + z) = (x y) + (x z) (d) zT (x y) = ______ x1 x2 x3 y1 y2 y3 z1 z2 z3 ______ 1

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