Vector equation of the plane with the point and normal vector is .

The plane that passes through the point and contains the line .

Here .

, since the line is contained in the plane the vector is .

The vector plane is .

Substiute .

Therefore .

The second vector in the plane is vector between and  is .

Since and   lie in the same plane ,the cross product is orthogonal to the that plane and it can be represented as normal vector .

Vector equation of the plane with the point and normal vector is .

Here and .

Substitute above values in vector equation formula.

The equation of the plane is .