Q3 (a) Briefly describe the extended Euclidean plane, and explain how it satisfies the axioms of projective...

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Q3

(a) Briefly describe the extended Euclidean plane, and explainhow it satisfies the axioms of projective geometry.

(b) Describe the Real Projective Plane RP2, explaining whatpoints and lines in RP2 correspond to in R 3 with respect to an‘all-seeing eye’ at the origin.

(c) Prove that the Cross-Ratio is preserved by every projectivetransformation

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