11. Let the equations of three lines $L _ { 1 } , L _ { 2 } , L _ { 3 }$ in coordinate space be
$$L _ { 1 } : \frac { x } { 1 } = \frac { y + 3 } { 6 } = \frac { z + 4 } { 8 } ; \quad L _ { 2 } : \frac { x } { 1 } = \frac { y + 3 } { 3 } = \frac { z + 4 } { 4 } ; \quad L _ { 3 } : \frac { x } { 1 } = \frac { y } { 3 } = \frac { z } { 4 }$$
Which of the following statements are correct?
(1) $L _ { 1 }$ and $L _ { 2 }$ intersect
(2) $L _ { 2 }$ and $L _ { 3 }$ are parallel
(3) The distance between points $P ( 0 , - 3 , - 4 )$ and $Q ( 0,0,0 )$ equals the shortest distance from point $P$ to $L _ { 3 }$
(4) The line $L$ : $\left\{ \begin{array} { c } x = 0 \\ \frac { y + 3 } { 4 } = \frac { z + 4 } { - 3 } \end{array} \right.$ is perpendicular to both $L _ { 1 }$ and $L _ { 2 }$
(5) The three lines $L _ { 1 } , L _ { 2 } , L _ { 3 }$ are coplanar