Kenneth Rosen Edition 7 Exercise 6.2 Question 11 (Page No. 405)
Let $(x_{i}, y_{i}, z_{i}), i = 1, 2, 3, 4, 5, 6, 7, 8, 9,$ be a set of nine distinct points with integer coordinates in $xyz$ space. Show that the midpoint of at least one pair of these points has integer coordinates.
Let $(x_{i}, y_{i}, z_{i}), i = 1, 2, 3, 4, 5, 6, 7, 8, 9,$ be a set of nine distinct points with integer coordinates in $xyz$ space. Show that the midpoint of at least o...