3D Line Equations and Skew
Shortest Distance Between Lines
Line L1 passes through the point (1, 2, 3) and is parallel to z-axis. Line L2 passes through the point (λ, 5, 6) and is parallel to y-axis. Let for λ = λ1, λ2, λ2 < λ1, the shortest distance between the two lines be 3. Then the square of the distance of the point (λ1, λ2, 7) from the line L1 is