Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 13 - Vector Functions - Review - True-False Quiz: 14

Answer

False

Work Step by Step

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