2. (l2 points) A line passes through the points 111(4. 5) and N(9_.}_ (3} Sketch lhisliner {b} On your sketch from part {a}, draw a normal vector to the line) {e} Determine the scalar equation of the line. {:1} Determine the vector equation of the line. {e} Determine the parametric equations of the line. (f) What is the y-lntereept of the line? What is the x-intereept of the line? 3. (8 points) (a) Do the vectors (2.5) and (8, 25) span 12? Explain. (b) If they do span IR2, then determine a linear combination of them which is equal to the vector (5, 7)4. (12 points) A plane in R" contains the points A(-2, 3, 1), B(1, 0, 1), and C(-2, 3, 2) (a) Write down a vector equation for this plane. (b) Determine a normal vector to the plane. (c) Use the normal vector you found from part (b) to determine a normal vector for a plane that is perpendicular to the plane given above. (d) Determine the scalar equation of a plane that is perpendicular to the plane given above