Find the set of 3d data parrallel to the current 3d data

Let's say: I have two set of 3d points as illustration (also see attached file: 1.txt , &, 2.txt)

How can I find the set of new 3D data belong to “green line”? The new 3D points is parallel with data 1,& far away distance “d=10m”, & in other side of red line(data 2). I hope the result will be a set of 3D point (kx3 matrix).

Result shown as below illustration:

Answer 1

[darova]

Choose some points (P1,P2,P3) from your data

- vector of the first line (blue)

- some temporary vector between P2 and P3 points

- normal vector of a plane (cross product of and vectors)

- perpedendicular to line2(red) vector

- point in plane and at the distance 10 from line2(red)

Using the same vector as for line1 and line2 draw line3(green) and point P4