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: 42

Answer

$$\langle 4,2\rangle$$

Work Step by Step

$$\vec{v}-\vec{b}=\vec{a}+\vec{c}$$ Solve for $\vec{v}$ $$\vec{v}=\vec{a}+\vec{b}+\vec{c}=\langle 6,-1\rangle+\langle -4,3\rangle+\langle 2,0\rangle$$ To add vectors in component form, add x and y components separately. $$=\langle 6-4+2,-1+3+0\rangle=\langle 4,2\rangle$$
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