I'm trying to solve a what I think is a classic line/plane intersection problem. However, this type of problem is new to me so please excuse me if I am misusing the terminology. I have two points in 4 dimensional space....
[14000, 14000,24000, 4000] [475, 10015, 436, 20008]
so the direction or vector between these two points is...
[13525, 3985, 23564, -16008]
I also have a facet or plane that is defined by these four points:
[[1935, 10007, 2200, 18464], [1013, 10986, 1671, 17678], [1276, 9460, 1245, 17099], [3021, 8722, 1890, 19507]]
How do I calculate the point in this facet (or plane) where the vector between the two points would intersect it, if at all? I've seen examples of plane intersection solved using the cross product of two vectors that comprise the plane, but these examples are usually in 3 dimensions and cross product seems to only be used for 3 and 7 dimensions. Is cross product even what I want to use here?