10 In the Cartesian coordinate system, it is known that the coordinates of the three vertices of $\triangle A B C$ are $A(2,1), B(-1,-1), C(1,3)$, and point $P$ moves on line $B C$. Point $Q$ satisfies $\overrightarrow{P Q}=\overrightarrow{P A}+\overrightarrow{P B}+\overrightarrow{P C}$, then the equation of the trajectory of point $Q$ is ( ).
(A) $2 x-y-3=0$
(B) $x-2 y-3=0$
(C) $x+2 y-4=0$
(D) $2 x+y-3=0$
$10 \mathrm{~A}$