Answer
$\frac{-5}{13}i+\frac{12}{13}j.$
Work Step by Step
If $v=ai+bj$ then the unit vector $u$ in the direction of $v$ is $u=\frac{v}{||v||}$, where $||v||=\sqrt{a^2+b^2}.$ $||v||=\sqrt{(-5)^2+12^2}=\sqrt{169}=13.$
Hence $u=\frac{-5i+12j}{5}=\frac{-5}{13}i+\frac{12}{13}j.$
