Consider the vectors

- Find a nonzero vector perpendicular to both and .
- Find a Cartesian equation for the plane through which is spanned by and .
- Find a Cartesian equation for the plane through which is spanned by and .

- Since and are independent, we can take
- From part (a) we have is perpendicular to both and , so a Cartesian equation for the plane is given by
Further, since the point is on the plane, we must have . Hence, the Cartesian equation for the plane is

- Again, we have a Cartesian equation for the plane given by
Since is on the plane we must have

Hence, the Cartesian equation for the plane is given by