AAHL 3.18.1 Intersection between a line and a plane

In this lesson, the process of finding the intersection point between a line and a plane is explained. It is emphasized that a line will always intersect a plane unless they are parallel, which can be determined by checking the dot product of the line's direction vector with the plane's normal vector.

To find the intersection, the equations of the line in terms of a parameter $\lambda$ are substituted into the equation of the plane. The resulting equation is solved for $\lambda$, and then this value is used to find the coordinates of the intersection point. The final point of intersection is given as $(3, -1, \frac{5}{2})$ or .