Find (if possible) the line of intersection between the lines: < 3,-1,2> +t <1,1,-1 > and +s for t, s R. Show (if possible)

Find (if possible) the line of intersection between the lines: < 3,-1,2> +t and +s for t, s R. Show (if possible) that the lines x + 1 = 3t, y = 1. z + 5 = 2t for t = R and x + 2 = S y - 3 = -5s, z + 4= -2s for s R intersect, and find the point(s) of intersection. Find the intersection between the planes: x-2y+z=3 and -x + 3y-2z = 1.