Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 12 - Matrices - 12-6 Vectors - Practice and Problem-Solving Exercises - Page 814: 41

Answer

$$\langle 6,-3\rangle$$

Work Step by Step

$$\vec{c}-\vec{v}=\vec{b}$$ Solve for $\vec{v}$ $$\vec{v}=\vec{c}-\vec{b}=\langle 2,0\rangle-\langle -4,3\rangle$$ To subtract vectors in component form, subtract x and y components separately. $$=\langle 2-(-4),0-3\rangle=\langle 6,-3\rangle$$
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