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Λa+µb+vc =0 constants not all zero c.(axb)=0

  1. 1. The problem statement, all variables and given/known data

    past paper qu...

    λa + µb + vc = 0
    for some λ, µ, v not all zero show c.(axb)=0

    consider cases v not equal to 0 and v = 0

    3. The attempt at a solution

    not sure how to start so if someone could just point me in the right direction or offer another hint it may help me get started in the mean time i'll keep looking at it


    ok i think i made a bit of progress:-

    when v not= 0
    λa.(axb) + µb.(axb) + vc.(axb) = 0.(axb)

    so vc.(axb) = 0
    => c.(axb) = 0
    Last edited: May 13, 2009
  2. jcsd
  3. Dick

    Dick 25,832
    Science Advisor
    Homework Helper

    Use properties of the dot and cross product. axb is perpendicular to both a and b, right?
    So a.(axb)=b.(axb)=0. And if a and b are parallel, then axb=0.
  4. ok this along with the progress i made earlier has helped me do the qu

    thanks alot :biggrin:
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