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

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

Here .

The vector of the plane is .

.

Substiute .

Therefore .

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

Where and .

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 .