Answer
$\left(-\dfrac{\sqrt{101}}{101},\dfrac{10\sqrt{101}}{101}\right)$
Work Step by Step
We are given the points:
$P(-4,1)$
$Q(3,-4)$
$R(2,6)$
Find the unit vector with the same direction as $\overrightarrow{QR}$:
$\dfrac{\overrightarrow{QR}}{|\overrightarrow{QR}|}=\dfrac{(2-3,6-(-4))}{\sqrt{(2-3)^2+[6-(-4)]^2}}=\dfrac{(-1,10)}{\sqrt{101}}=\left(-\dfrac{1}{\sqrt{101}},\dfrac{10}{\sqrt{101}}\right)=\left(-\dfrac{\sqrt{101}}{101},\dfrac{10\sqrt{101}}{101}\right)$
