University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 11 - Practice Exercises - Page 639: 47


The vector is parallel to the plane.

Work Step by Step

We use the orthogonality test: $n \cdot v=\lt 2,1,0 \gt \cdot \lt 2,-4,1 \gt$ or, $=2(2)+1(-4)+0(1)$ or, $n \cdot v =0$ This implies that the vector $v$ is orthogonal to the plane's normal vector $n$. Hence, the vector is parallel to the plane because we have $n \cdot v =0$
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