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 695: 2

Answer

line passing through the point of coordinates $(-1,0,0)$; parallel to the y-axis.

Work Step by Step

Consider the equations such as: $x=-1,z=0$. The set of points that satisfies the equations $x=-1,z=0$ will be the line passing through the point of coordinates $(-1,0,0)$ and this will be parallel to the y-axis.
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