MATH 215 Midterm: exam1f13sol
Document Summary
Math 215 calculus iii, exam 1, 10/10/2013: (10 points) Let l1 and l2 be the lines given by the parametric equations. L1 : x(t) = 1 + t, y(t) = 2t, z(t) = 3 + t, and. L2 : x(t) = 1 t, y(t) = 2 2t, z(t) = 5 t. These two lines are parallel to each other. Find an equation of the plane which contains both lines. Both lines are parallel to the vector ~v1 =< 1, 2, 1 >. We now pick a point on l1 and another point on l2. The vector formed from these two points is also on the plane. For example, we can take a = (1, 0, 3) on l1 and. Then ~v2 = ~ab =< 0, 2, 2 > is on the plane. The plane is normal to the vector ~n = ~v1 ~v2 =< 2, 2, 2 >.
