Answer
$\dfrac{ -5}{13}i+\dfrac{ 12}{13}j$
Work Step by Step
Let us consider two vectors $v=pi+qj$ and $w=xi+yj$; then we have the unit vector $u$ in the same direction as $v$ given by: $u=\dfrac{v}{||v||}$
and the magnitude of any vector (let us say $v$) can be determined using the formula
$||v||=\sqrt{p^2+q^2} $
We have: $||v||=\sqrt {(-5)^2+(12)^2}=\sqrt {169}=13$
Therefore, the unit vector $u$ in the same direction as $v$ is : $u=\dfrac{v}{||v||}=\dfrac{ -5i+12j}{13}=\dfrac{ -5}{13}i+\dfrac{ 12}{13}j$
