Solution to question 1
Solution to question 2
Solution to question 3
Deduce that if |F| = 2 and n = 3 we get a projective plane with 7 points.
(The picture on the right represents such a plane. It has 7 points and 7 lines: each point lies on 3 lines and each line contains 3 points. One of the lines is represented by a circle.)
Describe how one could construct projective planes with 13 points and with 21 points.
Solution to question 4
[Hint: Project two of the meets to points on the line at infinity.]
Solution to question 5