Let P(V) be a projective space of dimension > 2, and let [v], [v2), [v3] € non-colinear points (meaning [vi], [u2], [v3] do not lie on a common line). F there is a unique projective plane in P(V) containing all three points.

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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
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4. Let P(V) be a projective space of dimension > 2, and let [vi], [v2], [v3] € P(V) be
non-colinear points (meaning [vi], [], [v3] do not lie on a common line). Prove that
there is a unique projective plane in P(V) containing all three points.
Transcribed Image Text:4. Let P(V) be a projective space of dimension > 2, and let [vi], [v2], [v3] € P(V) be non-colinear points (meaning [vi], [], [v3] do not lie on a common line). Prove that there is a unique projective plane in P(V) containing all three points.
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