Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 6 - Section 6.6 - Vectors - Exercise Set - Page 784: 109


The statement is true.

Work Step by Step

The vector addition of three or more vectors is represented by the head of the first vector and the tail of second vector, the tail of the second vector and the head of the first vector, and so on. The resultant vector starts from the tail of the first vector to the head of the last vector and the direction of the arrow is toward the last vector. From the given graph, the addition of two vectors $\mathbf{D}$, $\mathbf{A}$, $\mathbf{B}$, and $\mathbf{C}$ is $\begin{align} & \mathbf{D}+\mathbf{A}+\mathbf{B}=-\mathbf{C} \\ & \mathbf{D}+\mathbf{A}+\mathbf{B}+\mathbf{C}=0 \end{align}$ Thus, the statement is true.
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