Answer
False
Work Step by Step
According to the theorem:
If \(||\mathbf{r}(t)||\) is constant for all \(t\), then \(\mathbf{r}(t) \cdot \mathbf{r}'(t) = 0\)
it follows that the two vectors are orthogonal, not parallel.
Result: False statement
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 - 12.2 Calculus Of Vector-Valued Functions - Exercises Set 12.2 - Page 857: 42
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