Given the points $D(-8,7)$ and $C(2,-6),$ determine the position vector of vec$(CD).$

Select the correct answer below:

$($:$-10,13$:$)$

$($:$13,10$:$)$

$($:$-10,-13$:$)$

$($:$10,-13$:$)$

$($:$13,-10$:$)$

$($:$-13,10$:$)$