Let a straight line $L$ pass through the point $P ( 2 , - 1,3 )$ and be perpendicular to the lines $\frac { x - 1 } { 2 } = \frac { y + 1 } { 1 } = \frac { z - 3 } { - 2 }$ and $\frac { x - 3 } { 1 } = \frac { y - 2 } { 3 } = \frac { z + 2 } { 4 }$. If the line $L$ intersects the $y z$-plane at the point $Q$, then the distance between the points $P$ and $Q$ is :\\
(1) $\sqrt { 10 }$\\
(2) $2 \sqrt { 3 }$\\
(3) 2\\
(4) 3