Linear Algebra: A Modern Introduction

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

Chapter 1 - Vectors - 1.2 Length and Angle: The Dot Product - Exercises 1.2 - Page 290: 26


$\theta =90 ^{\circ}$

Work Step by Step

We know the following: $\cos\theta=\frac{u\cdot v}{|u||v|}$ Therefore, it follows: $u\cdot v=4(1)+(3)(-1)+(-1)(1)=0$ Whenever the dot product is zero, the angle between the vectors is a right angle. Thus: $\theta =90 ^{\circ}$
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