Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.4 Vectors, Operations, and the Dot Product - 7.4 Exercises - Page 328: 14

Answer

We can first use the vector $a$ and the vector $b$ to sketch the vector $a+b$. Then we can use the vector $c$ and the vector $a+b$ so that their initial points coincide. When we complete the parallelogram, the resultant vector through the middle of the parallelogram is the vector $(a+b)+c$.

Work Step by Step

To sketch the vector $(a+b)+c$, we can first use the vector $a$ and the vector $b$ to sketch the vector $a+b$. Then we can use the vector $c$ and the vector $a+b$ so that their initial points coincide. Then we can use another copy of the vector $c$ and the vector $a+b$ to complete the parallelogram. The resultant vector through the middle of the parallelogram is the vector $(a+b)+c$.
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