1. (6 points) Find equation of the plane through the point (2, 1, 1) and contains the line 1 1 a(m3)=y+4=z. 2. (6 points} Two particles travel along the space curves r1(t) = (:2, 2:2, 3:), 1'26} = (1 213,2 + 313,3 + 713). (a) Do the particles collide? If so, nd the point(s) of collision. (b) Do their paths intersect? If so, nd the point(s) of intersection. 3. (6 points} Find the directions in which the directional derivative of f(x,y) = yrsmy at the point (0,1) has the value %. Your answer must be unit vectors