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: 15

Answer

$<2, -3, 2>$ $<2, -11, 4>$ $<6, -23, 9.5>$

Work Step by Step

The question asks for the vectors $ u + v$, $u - v$, and $3u - 0.5 v$ Given $u = <2, -7, 3>$ and $v = <0, 4, -1>$ $u + v = <2 + 0, -7 + 4, 3 + (-1)> = <2, -3, 2>$ $u - v = <2 - 0, -7 - 4, 3 - (-1)> = <2, -11, 4>$ $3u - 0.5v = 3<2, -7, 3> - 0.5 <0, 4, -1>$ $= <6 - 0, -21 - 2, 9 - (-0.5)> = <6, -23, 9.5>$
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