Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.4 Vectors, Operations, and the Dot Product - 7.4 Exercises - Page 332: 11

Answer

We can sketch the vector $a$ and the vector $-c$ so that their initial points coincide. When we complete the parallelogram, the resultant vector through the middle of the parallelogram is the vector $a-c$.

Work Step by Step

To sketch the vector $a-c$, we can sketch the vector $a$ and the vector $-c$ (which points in the opposite direction from the vector $c$) so that their initial points coincide. Then we can use another copy of the vector $a$ and the vector $-c$ to complete the parallelogram. The resultant vector through the middle of the parallelogram is the vector $a-c$.
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