Calculus (3rd Edition)

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

Chapter 13 - Vector Geometry - 13.3 Dot Product and the Angle Between Two Vectors - Exercises - Page 667: 62

Answer

7

Work Step by Step

Component of $\textbf{u}$ along $\textbf{v}$= $\frac{\textbf{u}\cdot\textbf{v}}{||\textbf{v}||}$ $\textbf{u}\cdot\textbf{v}=⟨3,0,9⟩\cdot ⟨1,2,2⟩=3(1)+0(2)+9(2)=21$ $||\textbf{v}||=\sqrt {1^{2}+2^{2}+2^{2}}=3$ Therefore, Component of $\textbf{u}$ along $\textbf{v}$ $=\frac{21}{3}=7$
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.