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: 13

Answer

We can first use the vector $b$ and the vector $c$ to sketch the vector $b+c$. Then we can use the vector $a$ and the vector $b+c$ to make a parallelogram. The resultant vector through the middle of the parallelogram is the vector $a+(b+c)$.
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Work Step by Step

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