Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 9 - Polar Coordinates; Vectors - 9.6 Vectors in Space - 9.6 Assess Your Understanding - Page 625: 26



Work Step by Step

If the opposite vertices of a rectangular box are: $(a,b,c)$ and $(x,y,z)$ then the other six vertices will have coordinates(because the other $6$ vertices must "inherit" each coordinate from either of the opposite vertices): $(a,b,z),(a,y,c),(x,b,c),(x,y,c),(x,b,z),(a,y,z).$ Hence here the other vertices are: $(-2,-3,1),(-2,7,0),(-6,-3,0),(-2,7,1),(-6,-3,1),(-6,7,0).$
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