Answer
True.
Work Step by Step
All three $\mathbf{i}, \mathbf{j}, \mathbf{k}$ increase linearly in relation to each other. This can be seen if we substitute $u=t^3$: $r(u)=u\mathbf{i}+2u\mathbf{j}+3u\mathbf{k}$ (a line).
Multivariable Calculus, 7th Edition
by Stewart, James
Published by
Brooks Cole
ISBN 10:
0-53849-787-4
ISBN 13:
978-0-53849-787-9
Chapter 13 - Vector Functions - Review - True-False Quiz - Page 897: 1
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