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Vectors and the Menelaus Theorem

  1. Oct 6, 2005 #1

    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?
    Last edited: Oct 6, 2005
  2. jcsd
  3. Oct 7, 2005 #2
    I have never heard of that theorm!!! What is it?
  4. Oct 7, 2005 #3


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    http://www.ies.co.jp/math/java/vector/menela/menela.html [Broken]
    Last edited by a moderator: May 2, 2017
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