Let $\mathrm { L } _ { 1 } : \frac { x - 1 } { 2 } = \frac { y - 2 } { 3 } = \frac { z - 3 } { 4 }$ and $\mathrm { L } _ { 2 } : \frac { x - 2 } { 3 } = \frac { y - 4 } { 4 } = \frac { z - 5 } { 5 }$ be two lines. Then which of the following points lies on the line of the shortest distance between $L _ { 1 }$ and $L _ { 2 }$?\\
(1) $\left( \frac { 14 } { 3 } , - 3 , \frac { 22 } { 3 } \right)$\\
(2) $\left( - \frac { 5 } { 3 } , - 7,1 \right)$\\
(3) $\left( 2,3 , \frac { 1 } { 3 } \right)$\\
(4) $\left( \frac { 8 } { 3 } , - 1 , \frac { 1 } { 3 } \right)$