12. Determine where the following planes intersect, and provide a geometric explanation of the intersection: (4 marks) m: xty+z+2=0 n2: 3x - y + 12z - 6 = 0 ng: 5x + y + 142 - 1 = 0 13. Given the following two planes: 71: x- 2y - 2z - 6 = 0 T2:-x+y+3z -8 =0 a. Briefly explain how they will intersect geometrically without any calculations. (1 mark) b. Find the intersection between the planes. (4 marks) 14a. Determine the distance between the two planes m1:2x - 3y + z -1 = 0 and n2: 2x - 3y + z = 0. (2 marks) b. How would the distance change if plane 2 was 2x - 3y + 2z = 0 instead? (1 mark)