Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.1 Sequences - 12.1 Assess Your Understanding - Page 809: 104

Answer

$0$

Work Step by Step

By definition the dot product of 2 vectors $ai+bj$ and $ci+dj$ is $(ai+bj)(ci+dj)=ac+bd.$ If this product is $0$, then the vectors are orthogonal (perpendicular) and hence the enclosed angle is $90^\circ.$ Hence, here we have $v\cdot w=(2i-j)(i+2j)=2\cdot1+(-1)\cdot2=0$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.