Linear Algebra: A Modern Introduction

Published by Cengage Learning
ISBN 10: 1285463242
ISBN 13: 978-1-28546-324-7

Chapter 1 - Vectors - 1.1 The Geometry and Algebra of Vectors - Exercises 1.1 - Page 16: 8

Answer

$[4, 0]$

Work Step by Step

To add or subtract vectors, one can only combine components of like position with each other. Thus, we subtract the second component of c from the second component of b, and we subtract the first component of c from the first component of b to obtain: $b=[2, 3]$ and $c=[-2, 3]$ $b-c=[(2-(-2)), (3-3)]=[4, 0]$
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