Multivariable Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 0-53849-787-4
ISBN 13: 978-0-53849-787-9

Chapter 12 - Vectors and the Geometry of Space - 12.5 Exercises - Page 848: 25

Answer

$x+4y+z=4$

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 $x+4y+z=1(-1)+4(1/2)+1(3)$ After simplification, we get $x+4y+z=4$
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