Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 12: Vectors and the Geometry of Space - Section 12.1 - Three-Dimensional Coordinate Systems - Exercises 12.1 - Page 696: 25

Answer

$a.\quad x=3$ $b.\quad y=-1$ $c.\quad z=-2$

Work Step by Step

$a.\quad $ A plane perpendicular to the x-axis is the yz-plane, $x=0.$ A plane parallel to it, passing through the point (3,0,0), is $x=3$ $b.\quad $ A plane perpendicular to the y-axis is the xz-plane, $y=0.$ A plane parallel to it, passing through the point (0,$-1$,0), is $y=-1$ $c.\quad $ A plane perpendicular to the z-axis is the xy-plane, $z=0.$ A plane parallel to it, passing through the point ($0,0,-2$), is $z=-2$
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