Affine independence

Vectors {x^0, ..., x^k} are affinely independent if their affine hull is k-dimensional. Equivalently, {x^1-x^0, ..., x^k-x^0} are linearly independent. For n=2, any two distinct vectors are affinely independent (k=1). Three vectors need to form a triangle; otherwise, they are co-linear, and they are affinely dependent.
Found on http://glossary.computing.society.informs.org/index.php?page=A.html
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