Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 12 - Section 12.1 - Three-Dimensional Coordinate Systems - 12.1 Exercises - Page 796: 5

Answer

In two-space, $x=4$ is a vertical line parallel to y-axis with x-intercept (4,0). In three-space, $x=4$ is a plane parallel to y-axis with x-intercept (4,0).
1507492393

Work Step by Step

In two-space, $x=4$ is a line that extends infinitely in the vertical directions from the x-intercept (4,0). In three-space, $x=4$ is a plane parallel to the y-axis that extends indefinitely from the x-intercept (4,0). We are essentially taking the 2D line and drawing it to account for all points along the z-axis.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.