Answer
$u=\frac{\sqrt 2}{2}i+\frac{\sqrt 2}{2}j$
Work Step by Step
$||v||=\sqrt {v·v}=\sqrt {(i+j)·(i+j)}=\sqrt {1+1}=\sqrt 2$
$u=\frac{v}{||v||}=\frac{i+v}{\sqrt 2}=\frac{1}{\sqrt 2}i+\frac{1}{\sqrt 2}j=\frac{\sqrt 2}{2}i+\frac{\sqrt 2}{2}j$