Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 7 - Section 7.6 - Vectors: The Dot Product - 7.6 Problem Set - Page 412: 46

Answer

Theorem 7.2 is proved by Theorem 7.1.

Work Step by Step

We should prove theorem 7.2 by theorem 7.1. Theorem 7.1 is the dot product of two vectors: \[ |U| \cdot|V| \cos \theta=U \cdot V \] Substitute the angle in Theorem 7.1 \[ \begin{array}{l} |U| \cdot|V| \cos 90^{\circ}=U \cdot V \\ =|U| \cdot|V| \cdot 0 \\ {[0=U \cdot V]} \end{array} \] QED
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