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 330: 57

Answer

$\textbf{u+v}=\langle a+c,b+d \rangle$

Work Step by Step

The rules of vector addition say that if two vectors are added together, their x-components and y-components are added together. Therefore, if $\textbf{u}=\langle a,b \rangle$ and $\textbf{v}=\langle c,d \rangle$, then the resultant vector $\textbf{u+v}$ is $\textbf{u+v}=\langle a+c,b+d \rangle$
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