Find the cartesian and vector equation of the plane passing through the
points A(2,5,-3),B(-2,-3.5) and C(5,3,-3).
A: we know that the general equation of the plane passing
through three points
Then the plane pasing through
This is the required cartesian equation of the plane.
Now,
The required plane passes through the point whose position vector is
and is normal
to the vector given by
Now,
The vector equation of the plane is
this is the required vector equation