Theorem

Compute u. v, włu, w •v, u · (v + w), and v? (kw) using Formula (5) and parts (a), (b), (c), (d) of Theorem 5.3.3 where applicable. (i, 21,6), v = (3, -21,1+i), w = (2 – i, 2i, 4 +6i), k = 2i U = U. V = wiu = W.V= = U·(v + w) vf (kw) = -2+4i 4 12+6i – 12i 24 -361 12 + 8i (1) 10+ 9i (2) -1+2i 2 6+4i (3) 8-71 (4) 31+47i (5) -6-12i -8+4i 2- 61 12 -8i 4+4i 36-24i -16-24i 20+41
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