Calculus (3rd Edition)

$$\beta =\frac{3}{2}.$$
$w$ 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 $$-2=4m, \quad \beta=-3m\Longrightarrow m=-\frac{1}{2}, \quad \beta =\frac{3}{2}.$$