Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 11 - Three-Dimensional Space; Vectors - 11.6 Planes in 3-Space - Exercises Set 11.6 - Page 819: 6

Answer

\[ 0=-3 y-4 z+2 x \]

Work Step by Step

The equation of a plane passing through the point $(a, b, c)$ and having normal vector $\langle l, m, n\rangle$ is \[ 0=(-a+x)l+(-b+y)m+(-c+z)n \] The equation of the plane is \[ \begin{array}{c} 0=(-0+x) \cdot2- (-0+y)\cdot3-(-0+z) \cdot4 \\ 0=0=-3 y-4 z+2 x \end{array} \]
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