International Mathematics Competition
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2021

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IMC 2021
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IMC2021: Day 2, Problem 8

Problem 8. Let \(\displaystyle n\) be a positive integer. At most how many distinct unit vectors can be selected in \(\displaystyle \RR^n\) such that from any three of them, at least two are orthogonal?

Alexander Polyanskii, Moscow Institute of Physics and Technology;
based on results of Paul Erdős and Moshe Rosenfeld

        

IMC
2021

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