Find the vector equation of the plane passing through the points P(2, 5, – 3), Q(– 2, – 3, 5) and R(5, 3, – 3).

The required plane passes through the point P(2, 5, – 3) whose position vector is and is normal to the vector given by

Clearly,

The vector equation of the required plane is,

or,

or,

or,

or,