Answer
The vectors $\vec{u}$ and $\vec{v}$ are perpendicular.
Work Step by Step
$\vec{u}=2\vec{i}$ $,$ $\vec{v}=-7\vec{j}$
Find $\vec{u}\cdot\vec{v}$ by multiplying corresponding components and adding:
$\vec{u}\cdot\vec{v}=(2)(0)+(0)(-7)=0+0=0$
Since the dot product of these two vectors is equal to $0$, they are perpendicular.
