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2023 Fall LMT Speed p22 pairs of points in 3D

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March 2, 2024
geometry3D geometryalgebra

Problem Statement

Consider all pairs of points (a,b,c)(a,b,c) and (d,e,f)(d,e, f ) in the 33-D coordinate system with ad+be+cf=āˆ’2023ad +be +c f = -2023. What is the least positive integer that can be the distance between such a pair of points?
Proposed by William Hua
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