Parts (a)-(d) are distinct from each other. (a) Consider the vectors u=i+2j+3k and v=3i?j+2k. Find the scalar projection (compv u ) and vector projection (proj, u ) of vector u onto vector (b) Find the equation of the plane containing the points A(1,4,?2),B(?2,3,1), and C(3,2,?1). (c) Find the symmetric equations for the line through the points (0,21?,1) and (8,1,?6). (d) Let F(x,y,z)=x2y+xyz. Find the parametric equations of the normal line to the level surface F(x,y,z)=0 at the point P(?1,1,0).