1. [V] Let P be the plane through the point (2, 0, 3) that is perpendicular to the line with parameterization r(t) = (1 + 3t)i + (2 − t)i + 4tk. Find a level set equation and two different parameterizations for P. 3. [V] Find the three intercepts of the plane 3x +y + 2z = 12 and use them to sketch the plane. How would you work out the area of the triangle in the plane that is formed by these three intercepts? (Don’t do the calculation: Just explain.)

4. [V] Find a parametrization of the plane that contains both the point (2, 4, 6) and the line x = 7 − 3t, y = 3 + 4t, z = 5 + 2t.