Line-Plane Intersection

Where a line meets a plane in 3D

Point on line (P₀)
Direction (d)
Plane normal (n)
P(t) = P₀ + t·d, n·x = e ⇒ t = (e − n·P₀) / (n·d)
Relationship
Crosses the plane at one point
Intersection point
(0.75, 0.75, 1.5)
Parameter t
0.75
n · d
4
Line-Plane IntersectionIsometric diagram of a line meeting a plane in 3D, with the intersection point marked.n(0.75, 0.75, 1.5)line / planeintersection