If L_1 is the line of intersection of the planes 2 x-2 y+3 z-2=0, x-y+z+1=0 and L_2 is the line of intersection of the planes x+2 y-z-3=0,3 x-y+2…

If $\displaystyle \mathrm{L}_1$ is the line of intersection of the planes $\displaystyle 2 x-2 y+3 z-2=0, x-y+z+1=0$ and $\displaystyle \mathrm{L}_2$ is the line of intersection of the planes $\displaystyle x+2 y-z-3=0,3 x-y+2 z-1=0$, then the distance of the origin from the plane, containing the lines $\displaystyle \mathrm{L}_1$ and $\displaystyle \mathrm{L}_2$, is :