Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.6 - Vectors - Concept and Vocabulary Check - Page 781: 7

Answer

The horizontal component of $\mathbf{v}$ is a. The vertical component of $\mathbf{v}$ is b. The magnitude of $\mathbf{v}$ is given by $\left\| \mathbf{v} \right\|=\sqrt{{{a}^{2}}+{{b}^{2}}}$.

Work Step by Step

Consider the point V which has coordinates (a, b); this means the horizontal projection is a, and the vertical projection will be b; it can be represented in vector form $\mathbf{v}$ from (0, 0) to (a, b) as: $\mathbf{v}=a\mathbf{i}+b\mathbf{j}$ Then vector $\mathbf{v}$ is called a position vector. Hence, the horizontal component of $\mathbf{v}$ is a. The vertical component of $\mathbf{v}$ is b which has magnitude: $\sqrt{{{a}^{2}}+{{b}^{2}}}$
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.