Answer
$\left(\dfrac{6\sqrt{61}}{61},\dfrac{5\sqrt{61}}{61}\right)$
$\left(-\dfrac{6\sqrt{61}}{61},-\dfrac{5\sqrt{61}}{61}\right)$
Work Step by Step
We are given the points:
$P(-4,1)$
$Q(3,-4)$
$R(2,6)$
Find the unit vector $\overrightarrow{u}$ with the same direction as $\overrightarrow{PR}$:
$\overrightarrow{u}=\dfrac{\overrightarrow{PR}}{|\overrightarrow{PR}|}=\dfrac{(2-(-4),6-1)}{\sqrt{[2-(-4)]^2+(6-1)^2}}=\dfrac{(6,5)}{\sqrt{61}}=\left(\dfrac{6}{\sqrt{61}},\dfrac{5}{\sqrt{61}}\right)=\left(\dfrac{6\sqrt{61}}{61},\dfrac{5\sqrt{61}}{61}\right)$
Another unit vector parallel to $\overrightarrow{PR}$ is:
$-\overrightarrow{u}=\left(-\dfrac{6\sqrt{61}}{61},-\dfrac{5\sqrt{61}}{61}\right)$
