Linear Algebra: A Modern Introduction

Published by Cengage Learning
ISBN 10: 1285463242
ISBN 13: 978-1-28546-324-7

Chapter 1 - Vectors - 1.2 Length and Angle: The Dot Product - Exercises 1.2 - Page 290: 35

Answer

$D\;=\;(-2\;,1\;,1)\\\\$

Work Step by Step

$ ABCD \;is\; a \ rectangle\;\;\;\;so \;\;\;{\overline{BC}}\;=\;\overline{AD}\\\\$ ${\overline{BC}}\;=\;(0\;,5\;,-4)\;-\;(3\;,6\;,-2)\;=\;(-3\;,-1\;,-2)\\\\$ $D\;=\;A\;+\;{\overline{BC}}\;=\;(1\;,2\;,3)\;+\;(-3\;,-1\;,-2)\;=\;(-2\;,1\;,1)\\\\$
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