Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.2 Arithmetic Sequences - 12.2 Assess Your Understanding - Page 816: 73

Answer

$4i-6j$

Work Step by Step

If a vector $v$ initiates at point $P(x_1,y_1)$ and terminates at $Q(x_2,y_2)$ then $v=(x_2-x_1,y_2-y_1)\\ v=(x_2-x_1)i+(y_2-y_1)j$ Hence, here we have $v=[3-(-1)]i+(-4-2)j\\ v=(3+1)i+(-6)j\\ v=4i - 6j$
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