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Vector lines, ratio of vector lines

  1. Oct 26, 2012 #1
    http://www.xtremepapers.com/papers/...S Level/Mathematics (9709)/9709_w09_qp_31.pdf1. The problem statement, all variables and given/known data
    6i


    2. Relevant equations
    r=a+λb


    3. The attempt at a solution
    first i find AB which is (2,2,-2)
    the equation if line is then (1,0,-1)+λ(2,2,-2)
    i made it so that λ is 0.5, which then OM is (2,1,-2), as its the mid point.

    i found AC to be (3,-3,3)

    the equation of AC is (1,0,-1)+λ(3,-3,3)
    which then i made lambda to be 1/3...but is this the right working? i did that and i cant get the awnser.
     
  2. jcsd
  3. Oct 26, 2012 #2

    HallsofIvy

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    N is 2/3 of the way from A to C so is closer to C than A. Take [itex]\lambda= 2/3[/itex], not 1/3.
     
  4. Oct 26, 2012 #3
    gah, didnt notice that. Im such an idiot >< thanks alot.
     
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