## Problem on finding a perpendicular vector

Find a 2d vector that is perpendicular to $\langle 2,3 \rangle$. Verify that it is perpendicular.
• ## Solution

Recall that
Hence, a vector perpendicular to $\langle 2, 3 \rangle$ is $\langle -3, 2 \rangle$.
To verify these are perpendicular, we recall