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: 10

Answer

Q (17, -1, 14)

Work Step by Step

The question asks for the terminal point when vector v has initial point P Given $v = <23, -5, 12>, P(-6, 4, 2)$ Let the terminal point be Q (x, y, z) Add vector v to point P $x = -6+ 23= 17$ $y = 4 + (-5) = -1$ $z = 2 + 12 = 14$ Thus the terminal point is Q (17, -1, 14)
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