Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.6 - The Three-Dimensional Coordinate System - Exercises - Page 490: 15

Answer

The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(-3, 2, 7)$

Work Step by Step

$P_1 = (0,0,0)$ $P_2 = (-6,4,14)$ We can find the midpoint between these two points: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ,\frac{z_1+z_2}{2})$ $= (\frac{0+(-6)}{2},\frac{0+4}{2} ,\frac{0+14}{2})$ $ = (-3, 2, 7)$ The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(-3, 2, 7)$
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