Answer
False
Work Step by Step
Since \(\left\| \mathbf{r}'(t) \right\|\) is a scalar, then \(\int_a^b \left\| \mathbf{r}'(t) \right\| dt\) is also a scalar. Result: False.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 12 - Vector-Valued Functions - 12.3 Change Of Parameter; Arc Length - Exercises Set 12.3 - Page 866: 17
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
