A Level Maths Notes: FP4 – The Angle Between Two Planes
and
is
equal to the angle between the normals to the planes
and
is
any point in the plane,
is
any fixed point and the normal is
then
where
and
are
the position vectors of
and
respectively.
This results in the equation of the plane
and
the normal can be read off:
Thus given the cartesian equations of two planes, we can read off
the normals
and
and
the angle between the planes is given by
Example: Planesandare
given by
and
The
normals
andare
given by
and
