22. Find the intercepts of the plane 2x+6y-3z-12-0. [2]

23. The point (1, k, 4) lies on the plane [x, y, 2] = [1, 2, 0] + s[3, 0, 1] + [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

1₂:2x-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 +z-20-0

26. Find a vector perpendicular to both a= [1, 2, 3] and 5 - [3, 2,-1].

[2]

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