Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 7 - Section 7.1 - Locus of Points - Exercises - Page 329: 28

Answer

This is a straight line that goes in the z direction.

Work Step by Step

Recall, a locus is the same distance from all of the points no matter what. In a previous problem, we found that the locus of three points in 2 dimensions is a point. However, since the book now wants us to consider three dimensions, the locus is now a line that goes through the point we found in 2 dimensions that is perpendicular to the plane that points D, E, and F are in.
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.