Hello please help me with my Grade 12 Calculus and Vectors homework. please ensure that all answers are in detail and are handwritten. Thank you so much

13. Rounded to one decimal place, determine the obtuse angle between these planes: T1: 2x + 2y - z + 5 = 0 and 12: x + 4y - 4z + 5 = 0 [4 marks] 14. Determine the exact point of intersection of the plane m: 3x - y - z + 1 = 0 and the line L: [x, y, z] = [-1,3 , 5] + + [-1, 3, 3] [3 marks]15. Points: A(-4, 3,4), B(-5, 2,5), and C(-3, 1, 5) form a triangle. Find a vector that has a magnitude of one and is perpendicular to the triangle. [3 marks] 16. Determine, showing work, whether the plane m: 3x y z 6 = 0 contains the line [x,y,z] = [3,1,4] + 5[2,3,3] [2 marks] 17. The point (a, b, 19) lies on the line Ly: [x,y,z] = [3,1,4] + s[4,3,1] Determine the values of a and b. [2 marks] 18. Use Elimination to determine the point of intersection of these 3 planes: [6 marks] 2x+y29=0 8x+2y+z+5=0 4x 4y2z15=0 @ @ d Please use the method of elimination and clearly indicate what variables you are matching. Do not use matrices. Please number your equations appropriately