Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 9 - Section 9.4 - Vectors in Three Dimensions - 9.4 Exercises - Page 658: 16

Answer

$<4, 3, -3>$ $$ $$

Work Step by Step

The question asks for the vectors $ u + v$, $u - v$, and $3u - 0.5 v$ Given $u = <0, 1, -3>$ and $v = <4, 2, 0>$ $u + v = <0 + 4, 1 + 2, -3 + 0)> = <4, 3, -3>$ $u - v = <0 - 4, 1 - 2, -3 - 0)> = $ $3u - 0.5v = 3<0, 1, -3> - 0.5 <4, 2, 0>$ $= <0 - 2, 3 - 1, -9 - 0> = $
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