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 813: 26

Answer

$$\langle3,6\rangle$$

Work Step by Step

To scale a vector in component form, multiply each component by the scale factor, in this case, $\frac{3}{2}$,. $$\frac{3}{2}\vec{v}=\frac{3}{2}\langle 2,4\rangle=\langle \frac{3}{2}\times 2,\frac{3}{2}\times 4\rangle=\langle3,6\rangle$$
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