Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 8 - Polar Coordinates; Vectors - Section 8.6 Vectors in Space - 8.6 Assess Your Understanding - Page 645: 25

Answer

$(-1,2,2),(4,0,2),(4,2,2),(-1,0,5),(-1,2,5),(4,0,5)$.

Work Step by Step

1. Given vertices $(-1,0,2),(4,2,5)$, we can find other vertices: X-Y plane (z=2): $(-1,2,2),(4,0,2),(4,2,2)$, Y-Z plane (x=-1): $(-1,2,2),(-1,0,5),(-1,2,5)$, X-Z plane (y=0): $(4,0,2),(-1,0,5),(4,0,5)$, 2. Remove repeating points to get $(-1,2,2),(4,0,2),(4,2,2),(-1,0,5),(-1,2,5),(4,0,5)$.
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