Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - 13.5 Planes in 3-Space - Preliminary Questions - Page 684: 6


a) $\mathcal{L}$ is contained in $\mathcal{P}$.

Work Step by Step

Since $ n\cdot v=0$, then the $ n $ and $ v $ is orthogonal and hence the line $\mathcal{L}$ must be parallel to the plane $\mathcal{P}$ or be contained in $\mathcal{P}$. Thus, the right answer is: (a) $\mathcal{L}$ is contained in $\mathcal{P}$.
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