Intersection of line and plane (HL)
For the intersection between
There are 3 cases:
- Line is on the plane (infinite intersections).
- Line is on a parallel plane (no intersections)
- Intersection (exactly one intersection)
We can substitute the parametric equations of a line into equation of the plane.
It’s a one-variable linear equation. The number of solutions of corresponds to the number of intersections.
For the point of intersection, if any, substitute the value of back into the line.