Let, the the position vector of the point where the line meets the plane be .

As is the position vector of the point of intersection of the line and the plane, so it must satisfy both of the equation of line and the equation of plane.

Substituting, in place of in both the equations, we

get,

……………………… (1), and

…………………….. (2)

Putting in equation (2) we get,

Substituting this value of λ in equation (1) we get,

The position vector of the point where the line meets the plane is .