Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.4 The Cross Product - Exercises - Page 677: 22


$$\langle -7,-10,-5\rangle.$$

Work Step by Step

$$ ( v+w)\times (3u+2v)= 3v\times u+2 v\times v+3w\times u+2w\times v\\ = -3u\times v-3u\times w-2v\times w\\ =-3\langle 1,1,0\rangle-3\langle 0,3,1\rangle-2\langle 2,-1,1\rangle\\ = \langle -3,-3,0\rangle+\langle 0,-9,-3\rangle+\langle -4,2,-2\rangle\\ =\langle -7,-10,-5\rangle.$$
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