. Do the lines Z = (3,1, - 5) + s(4,1,9) and I; = (2,0,1) + t(3, - 2,3) intersect? If so, what is the point of intersection, and What angles to the lines make with one another? (A /4 T /2) _) . Find the equation of the line perpendicular to the vectors 5) = (3, - 2,5) and b = (1,5, 3), and passes through the point P0(3,4,5). (K /4 A /2) . For What values k are the vectors 5) = (k, 5, 3) and 7)) = (2k, k,4) perpendicular? (A /4 T /2) . Find the area of the triangle made by points A(2,0,3), B(1, - 2,2), and C(3, 1,2). Illustrate with a diagram. (C /2 A /2)