A Level Maths Notes: C4 – Finding the Point of Intersection of a Line with a Plane
The line P has equation
and
we want to find the intersection of this line with the plane
We
substitute the values of
from
the line in terms of
into the equation of the plane. We solve this to find
then
substitute this value ofback
into the equation of the line to find the point of intersection.
Example: Find the point of intersection of
with
the plane
From the line,
Substitute
these expressions into the equation of the plane.
Substitute this value ofinto
the equation of the line:
