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: 19

Answer

$\langle -2, -2, -2\rangle $

Work Step by Step

We take the cross product: $ w\times (u+v) = w\times u + w\times v $ $=-u\times w - v\times w $ Since $ u\times w $ and $ v\times w $ are given: $=-\langle 0,3,1\rangle-\langle 2,-1,1\rangle $ Distribute the negatives and add: $=\langle -2, -2, -2\rangle $
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