Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 11 - Vectors and Vector-Valued Functions - 11.5 Lines and Curves in Space - 11.5 Exercises: 6

Answer

The $xz$-plane

Work Step by Step

$\textbf{r}(t) = t\textbf{i} + t^2\textbf{k}$ The curve $\textbf{r}(t)$ only has $\textbf{i}$ and $\textbf{k}$ components. In other words, the curve only has a $x$ and $z$ components, meaning that the curve must reside in the $xz$-plane.
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