Find the vector equation of the plane passing through the points , , and .

Let A(3,4,2), B(2, – 2, – 1), C(7,0,6).

The required plane passes through the point A(3,4,2), 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,