Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 10 - Section 10.6 - The Three-Dimensional Coordinate System - Exercises - Page 482: 17

Answer

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

Work Step by Step

$P_1 = (2,-1,1)$ $P_2 = (5,7,-7)$ We can find the midpoint between these two points: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} ,\frac{z_1+z_2}{2})$ $= (\frac{2+5}{2},\frac{-1+7}{2} ,\frac{1+(-7)}{2})$ $ = (\frac{7}{2}, 3, -3)$ The midpoint of the line segment $~\overline{P_1P_2}~$ is: $(\frac{7}{2}, 3, -3)$
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