6. (a) (1 Point) What are the possible intersections of two lines in R3? Select all that apply: O No intersection O A point O A Line O A Plane (b) (1 Point) What are the possible intersections of two planes in R3? Select all that apply: O No intersection O A point O A Line O A Plane (c) (1 Point) What are the possible intersections of a line and a plane in R3? Select all that apply: O No intersection O A point O A Line O A Plane 7. (1 Point) Consider the line defined parameterically by x(t) = 5, y(t) = -4 -t, z(t) = 2t and the plane defined implicitly by 2x - y + z = 5. (a) Explain (geometrically) why the given line and plane will intersect in a single point. A picture is not a sufficient argument here. (b) (1 Point) Find the point at which the given line and plane will intersect