Answer
$$ e_v
=\left\langle\frac{1}{\sqrt{6}},\frac{1}{\sqrt{6}},\frac{2}{\sqrt{6}} \right\rangle.$$
Work Step by Step
$$ e_v=\frac{v}{\|v\|}=\frac{\langle1,1,2 \rangle }{\sqrt{1+1+4}}\\
=\left\langle\frac{1}{\sqrt{6}},\frac{1}{\sqrt{6}},\frac{2}{\sqrt{6}} \right\rangle.$$
