Please refer to the image at the bottom for the description, below.
Given two hypothetical line segments:
a from point3 A1 to point3 A2
b from point3 B1 to point3 B2
If we were to create a new segment, c, which extends from point3 A2 to point3 B3 where it intersects segment b, making c an extension of segment a from its end point A2 to the new point B3 (i.e., segment c should be collinear with a), how would we go about doing this using Maxscript and let’s assume all coordinates are in World space to make life simpler?
Note that the angle of intersection, 𝛂, could be acute, right, or obtuse, depending on the direction of a and b.
To make things simpler, I am most interested in a function that returns the new intersection point3 B3, given point3s A1, A2, B1 and B2 as parameters, assuming of course that segment a would intersect segment b if projected as indicated by c. I suppose the function could return undefined if a and b are parallel or skew (i.e., not co-planar) with respect to each other.
fn findIntersectionPoint A1 A2 B1 B2 ( B3=[0,0,0] -- Point of intersection, to be calculated /* Calculation code ... */ B3 )
Thanks you for your help!