Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 13 - Review - True-False Quiz: 14

Answer

False

Work Step by Step

Since, $(t,t,t)$ and $(t^{3},t^{3},t^{3})$ refer to the same line, but at the value of $t=1$, all they would have different tangent vectors, the same directions, but different magnitudes. Hence, the given statement is false.
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