Problem 1: Define L to be the line through P = (3, 1,2) and Q = (-1, 0, 1). Express L in terms of either a vector equation or a parametric equations. Where does L intersect the plane defined by x - y + z = 3? Problem 2: Draw the surfaces defined by a? + z? = 4 and y? + 2? = 1 in R3. Draw their curve(s) of intersection, and find vector function(s) that represent these curve(s)