Answer
The vectors $\vec{u}$ and $\vec{v}$ are perpendicular.
Work Step by Step
$\vec{u}=2\vec{i}-8\vec{j}$ $,$ $\vec{v}=-12\vec{i}-3\vec{j}$
Find $\vec{u}\cdot\vec{v}$ by multiplying corresponding components and adding:
$\vec{u}\cdot\vec{v}=(2)(-12)+(-8)(-3)=-24+24=0$
Since the dot product of these two vectors is equal to $0$, they are perpendicular.
