2. To find one of them it is sufficient to calculate the coordinates of two points in the plane which determine a vector which is parallel to the plane.
3. As an example: and determine a vector .
For further calculations use
4. From the wording of the question I assume that you are asked to determine the equation of a line passing through the given point and parallel to the plane. If so:
But, as I#ve mentioned above, there are an unlimited number of such lines, which are situated in a plane parallel to the given plane.