Multivariable Calculus, 7th Edition

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: 3

Answer

False.

Work Step by Step

The curve is a line, but it does not pass through the origin. For $\mathbf{j}$ to be $0$, $t$ must equal $3$. However, for $\mathbf{i}$ to be $0$, $t$ must equal $0$, a clear contradiction.
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