It just occured to me that I have mixed two kinds of planes in the
solution:
1) those that are spanned by two vectors, 2-flats (dimension = 2)
2) hyperplanes, (n-1)-flats (dimension = n - 1)
For dimension 3 these two are the same. The result is that the
generalization to higher dimensions is maybe not so useful: the solution
actually finds the intersection of a hyperplane and a 2-flat.
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