Thinking and Inquiry (10 marks) 21. Determine an equation for the line of intersection of the following planes: 3x + 2y + 5z = 4 and 4x - 3y+z=-1. (3 marks) 22. The equation of a plane is [x, y, z] = [-1, -1, 1] + s[1, 0, 1] + ([0, 1, 2], s, t, E R. Find the intercepts of the plane. (3 marks) x = 5+1 23. The point (k, 0, 3) lies on the plane {y = s-t , s, t E R.. Find the value of k. (2 marks) 27. Determine the solution to the following system: (4 marks) m: x + 3y +2z = 5 12:2x - y - 4z = 4 13:5x + y - 6z = 13