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: 34

Answer

$$\langle3,-5\rangle$$

Work Step by Step

To scale a vector in component form, multiply each component by the scale factor. $$-\vec{u}=-\langle -5,3\rangle=\langle (-1)\times (-5),(-1)\times 3\rangle=\langle5,-3\rangle$$ $$-\vec{w}=-\langle 2,2\rangle=\langle (-1)\times 2,(-1)\times 2\rangle=\langle-2,-2\rangle$$ To add vectors in component form, add x and y components separately. $$-\vec{u}-\vec{w}=\langle 5,-3\rangle+\langle -2,-2\rangle=\langle 5-2,-3-2\rangle=\langle3,-5\rangle$$
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