Hey guys,

I had a question regarding 2 line segments. Say we have 2 line segments whose origin and lengths are given as: (P0, L0) and (P1, L1) respectively. I need to find when can they end at the same point. The line segments lie anywhere in 3D space.

One of the approaches I could think about is: Let's say this common end point is T and the points are A and B. So for the line segments with A and B as origins, A,B and T must form a triangle. Length of vector AT = L0 and length of vector BT = L1. But since the orientation of the line segment is not known, there can be a lot of possibilities. Lets say we choose a particular orientation for line segment AT as (i,j,k) - 1st octant. So now we can move anywhere in space from T but only by a distance L1 to find BT.

This is where I m not sure how to move forward.