## Problem on finding a unit vector

Find a unit vector in the direction of $\langle 1, 1 \rangle$.
• ## Solution

Recall that
Let $\bfx = \langle 1, 1\rangle$. Recall that
We thus compute that $$\left | \langle 1, 1 \rangle \right | = \sqrt{1^2 + 1^2} = \sqrt{2}.$$