Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 9 - Section 9.3 - Three-Dimensional Coordinate Geometry - 9.3 Exercises - Page 652: 4

Answer

$D = 7$ See graph below.

Work Step by Step

Given P (5, 0, 10) and Q (3, -6, 7), the question asks for a graph of the two points and the distance between them. See graph below (graphed with GeoGebra) The distance between the two points is determined by the distance formula: $D = \sqrt {(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2 }$ $D = \sqrt {(3 - 5)^2 + (-6 - 0)^2 + (7 - 10)^2 }$ $D = \sqrt {4 + 36 + 9}$ $D = \sqrt {49}$ $D = 7$
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