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Volume of tetrehedron

  1. Oct 5, 2007 #1
    1. The problem statement, all variables and given/known data
    Given points P1(2,-1,4),P2(-1,0,3),P3(4,3,1),P4(3,-5,0)
    determin the volume of the tetrahedron P1P2P3P4


    2. Relevant equations
    I believe the formula is (1/6)*the triple scalar product


    3. The attempt at a solution

    I found A=P1P2=(-3,1,-1)
    B=P1P3=(2,4,-3)
    C=P1P4=(1,-4,-4)
    and the triple scalar product i found was:29 and for the volume:V=29/6

    What am i doing wrong?The answer in the book is V=101/6
     
  2. jcsd
  3. Oct 5, 2007 #2

    Avodyne

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    Science Advisor

    Your A, B, and C vectors appear to be correct, but their triple product is 101, not 29. (The triple product is most easily computed as the determinant of the 3x3 matrix whose rows are A, B, and C.)
     
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