3. (20 points) Consider the skew lines L1 and L2 With parametric equations L1::c=3+2t y=4t z=1+3t, ngm=1+4s y=325 z=4+55. (a) (6 points) Find a vector orthogonal to the directions of L1 and L2. (b) (7 points) Find an equation of the plane that is parallel to the line L1 and contains the line L2 (A line and a plane are parallel if they do not intersect). (c) (7 points) Find the distance between the lines L1 and L2