Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 3 - Vectors - Questions - Page 56: 6c


Any $\vec{a}$ and $\vec{b}$ that are perpendicular to each other

Work Step by Step

Notice that the second constraint is the Pythagorean theorem which suggests that we should think about right triangles. Indeed, if $\vec{a}$ and $\vec{b}$ are perpendicular to each other, their vector sum $\vec{c}$ is the hypotenuse of the triangle. For example, let $\vec{a} = <0, 3> $and $\vec{b} = <4,0>$, then $\vec{a} + \vec{b} = \vec{c} = <4,3>$ and $|a| = 3, |b| = 4,$ and $|c| = 5$ 3-4-5 is a Pythagorean triple.
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.