Calculus (3rd Edition)

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

Chapter 13 - Vector Geometry - 13.2 Vectors in Three Dimensions - Preliminary Questions - Page 658: 1


$$ (4,3,2).$$

Work Step by Step

Assume that the terminal point of the vector $ v = \langle 3, 2, 1\rangle $ is $(a,b,c)$. Then, we have $$ \langle 3, 2, 1\rangle=(a,b,c)-(1,1,1)\Longrightarrow 3=a-1, \quad 2=b-1, \quad 1=c-1. $$ By solving the equations, we get the terminal point as follows $$(a,b,c)=(4,3,2).$$
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