A straight line drawn from the point $P ( 1,3,2 )$, parallel to the line $\frac { x - 2 } { 1 } = \frac { y - 4 } { 2 } = \frac { z - 6 } { 1 }$, intersects the plane $L _ { 1 } : x - y + 3 z = 6$ at the point $Q$. Another straight line which passes through $Q$ and is perpendicular to the plane $L _ { 1 }$ intersects the plane $L _ { 2 } : 2 x - y + z = - 4$ at the point $R$. Then which of the following statements is (are) TRUE? (A) The length of the line segment $PQ$ is $\sqrt { 6 }$ (B) The coordinates of $R$ are $( 1,6,3 )$ (C) The centroid of the triangle $PQR$ is $\left( \frac { 4 } { 3 } , \frac { 14 } { 3 } , \frac { 5 } { 3 } \right)$ (D) The perimeter of the triangle $PQR$ is $\sqrt { 2 } + \sqrt { 6 } + \sqrt { 11 }$
A straight line drawn from the point $P ( 1,3,2 )$, parallel to the line $\frac { x - 2 } { 1 } = \frac { y - 4 } { 2 } = \frac { z - 6 } { 1 }$, intersects the plane $L _ { 1 } : x - y + 3 z = 6$ at the point $Q$. Another straight line which passes through $Q$ and is perpendicular to the plane $L _ { 1 }$ intersects the plane $L _ { 2 } : 2 x - y + z = - 4$ at the point $R$. Then which of the following statements is (are) TRUE?\\
(A) The length of the line segment $PQ$ is $\sqrt { 6 }$\\
(B) The coordinates of $R$ are $( 1,6,3 )$\\
(C) The centroid of the triangle $PQR$ is $\left( \frac { 4 } { 3 } , \frac { 14 } { 3 } , \frac { 5 } { 3 } \right)$\\
(D) The perimeter of the triangle $PQR$ is $\sqrt { 2 } + \sqrt { 6 } + \sqrt { 11 }$