If $L_1$ is the line of intersection of the planes $2x- 2y+ 3z - 2 =0,\; x- y + z+1=0$ and $L_2$ is the line of intersection of the planes $x+2y -z-3=0, \; 3x - y + 2z - 1=0$, then the distance of the origin from the plane, containing the lines $L_1$ and $L_2$, is :

Question

( A ) $\frac{1}{\sqrt{2}}$
( B ) $\frac{1}{4\sqrt{2}}$
( C ) $\frac{1}{2\sqrt{2}}$
( D ) $\frac{1}{3\sqrt{2}}$