## Calculus 8th Edition

Published by Cengage

# Chapter 12 - Vectors and the Geometry of Space - 12.5 Equations of Lines and Planes - 12.5 Exercises - Page 871: 24

#### Answer

$2x+y-z=8$

#### Work Step by Step

The general form of the equation of the plane is: $a(x-x_0)+b(y-y_0)+c(z-z_0)=0$ or, $ax+by+cz=ax_0+by_0+cz_0$ Plugging in the given values, we get $2x+y-z=10+3-5$ After simplification, we get $2x+y-z=8$

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