Construct sets of 4 and 5 vectors that have 8 and 10 maximal subsets respectively
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Solution
For n=4, consider a convex quadrilateral ABCD in which AB=BC=AC=BD and AD=DC, and take the vectors →AB,→BC,→CD,→DA. For n=5, take the vectors →AB,→BC,→CD,→DE,→EA for any regular pentagon ABCDE.