Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 12 - Vectors and the Geometry of Space - Review - Concept Check - Page 881: 18

Answer

Traces are cross sections of the surfaces and planes parallel to the coordinate planes , that is, planes with equations $x=a, y=b$, or $ z=c$ . To find a trace, we set one of the three variables $x,y,z$ to be a constant. For example, we set $x=0$ , then the trace is the cross product of the surface and the $yz$ plane (if the surface intersects with $yz$ plane).

Work Step by Step

Traces are cross sections of the surfaces and planes parallel to the coordinate planes , that is, planes with equations $x=a, y=b$, or $ z=c$ . To find a trace, we set one of the three variables $x,y,z$ to be a constant. For example, we set $x=0$ , then the trace is the cross product of the surface and the $yz$ plane (if the surface intersects with $yz$ plane).
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.