1. Does the point of intersection between L1:(4,9,2) + s (1,-1,-1), s R and L2: (2, 11,4) + +(5,-3,-4), te R lie on the plane 3x - 2y + 3z + 4 = 0?

2. Determine values of k for which the system has one solution, infinite solutions, and no solutions.

-5x + y + 2a = -1

3x+y+2=1

6x+2y+k^2=k

3. What would you expect to be the distance between the parallel lines x + 4y - 2=0 and -3x - 12y +6 = 0? Use the distance formula to determine the distance and interpret your results.

4. Show that the lines L1: (4,-7,2) + (-2,6,2) , s R and Ly: (-5,8,-13) + t (-3,8, 1), t R lie on the plane 5x+2y-z-4=0.