Line ${L_1}$ passes through the point (1,2,3) and is parallel to z-axis. Line ${L_2}$ passes through the point $(\lambda ,5,6)$ and is parallel to y-axis. Let for $\lambda = {\lambda _1},{\lambda _2},{\lambda _2} < {\lambda _1}$, the shortest distance between the two lines be 3. Then the square of the distance of the point $\left( {{\lambda _1},{\lambda _2},7} \right)$ from the line ${L_1}$ is