Consider the line through the point and parallel to the vector . Then, let be the plane through the point and spanned by the vectors and . Prove that there is exactly one point in , and determine the point.

*Proof.* First, we have that and are the sets of points

Then, the points in are those which satisfy

This gives us the Cartesian equation

The points on are those such that

Thus, if then we have

Hence,

is the unique point in