Question:
Suppose $\vec{a}$ is a vector of magnitude $4.5$ unit due north. What is the vector(a) $3^{\vec{a}}$, (b) $-4 \vec{a}_{?}$
Solution:
$a=4.5 \mathbf{n}$, where $\mathbf{n}$ is unit vector in north direction
a) $3 a=4.5 \times 3 n=13.5$ in north direction
b) $-4 a=4.5 X-4 n=18$ in south direction