Find the intersection of a line with a plane: Difference between revisions

<lang APL>⍝ Find Intersectionthe intersection of a line with a plane

⍝ The intersection I belongs to a line defined by point L and vector V, meanstranslates that t exists, so that I = L + tVto:

⍝ I belongs to the plan defined by point P and normal vector N. This means that any two points of the plane make a vector normal ⍝ to vector N, I and P belong to the plane, so the vector IP is normal to vector N.

⍝ This translates to: theirThe scalar product beingIP.N zero= 0.

⍝ soWhich thatallows to resolve t: t = ((P - L).N) ÷ (V.N)

dot ← { +/⍺×⍵ ⍺ × ⍵ }