Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 13 - Vector Geometry - Chapter Review Exercises - Page 701: 11


$$\beta =\frac{3}{2}.$$

Work Step by Step

$ w $ is parallel to $ v $ if and only if $ w=mv $, that is, $$ w=mv\Longrightarrow \langle-2,\beta \rangle=m\langle4,-3 \rangle.$$ Hence, we get $$-2=4m, \quad \beta=-3m\Longrightarrow m=-\frac{1}{2}, \quad \beta =\frac{3}{2}.$$
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