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: 21



Work Step by Step

If the opposite vertices of a rectangular box are: $(a,b,c)$ and $(d,e,f)$ then the other six vertices will have coordinates (because the other $6$ vertices must "inherit" each coordinate from either of the opposite vertices): $(a,b,f),(a,e,c),(d,b,c),(d,e,c),(d,b,f),(a,e,f).$ (See image.) Hence here the other vertices are: $(0,0,3),(0,1,0),(2,0,0),(2,1,0),(2,0,3),(0,1,3).$
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