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Page 3 of 6 Completion Complete each statement. 17. In three-space, if two lines are not parallel and do not intersect, they are called 18. If three planes intersect in a point then the triple scalar product of their normal zero. 19. When algebraically determining the intersection of a plane and a line, if the result is 0 = 0, then Thinking [10 marks] 22. Find the intercepts of the plane 2x + 6y - 3z - 12 = 0. [2] 23. The point (1, *, 4) lies on the plane [x, y, z] = [1, 2, 0] + s[3, 0, 1] + t[2, -1, 1]. Find the value of k. [2] 24. By analysing the normals, determine if the two planes intersect in a line, are parallel and distinct, or are coincident. [2] 1: X+ 2y+32-3=0 2: 2x- y+2-7=0 25. By analysing the normals, determine if the three planes intersect in a point. [2] 1: X- 5y+ 22-10= 0 2: [x, y, z] = [0, 0, 3] + s[2, 0, 1] + #[7, -1, 0] 13: 8x + 5y +2-20=0