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Prove that the sum of an odd number of vectors of length 1, of common origin O and all situated in the same semi-plane determined by a straight line which goes through O, is at least 1.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
1442IMO Shortlist 1972 problem 123
1460IMO Shortlist 1974 problem 10
1538IMO Shortlist 1979 problem 72
1626IMO Shortlist 1984 problem 51
1668IMO Shortlist 1986 problem 55
1760IMO Shortlist 1989 problem 220