Let the line L be the projection of the line (x-1)/2=(y-3)/1=(z-4)/2 in the plane x-2 y-z=3. If d is the distance of the point (0,0,6) from L, then…

Let the line L be the projection of the line $$\frac{x-1}{2}=\frac{y-3}{1}=\frac{z-4}{2} $$ in the plane $\displaystyle x-2 y-z=3$. If d is the distance of the point $\displaystyle (0,0,6)$ from L , then $\displaystyle \mathrm{d}^2$ is equal to \_\_\_\_.