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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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# Vectors and the Menelaus Theorem

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