Vectors and the Menelaus Theorem

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Given 3 Non-zero vectors A, B and C in 3-dimensional space which are
non-coplanar. It is easy to show that there exists real constants m,p and n such that (A+mB),(B+pC) and (C+nA) are Co-planar implying mnp=-1.
It seems to me that there should be a natural way of using this result
to easily prove the direct Theorem of Menelaus can anyone help?
 
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I have never heard of that theorm! What is it?
 
http://www.ies.co.jp/math/java/vector/menela/menela.html
 
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