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Problems with vector questions

  1. Nov 12, 2012 #1
    Three vectors are expressed in terms of other three vectors
    in the form of

    a=a1α + a2β + a3γ
    b=b1α + b2β + b3γ
    c=c1α + c2β + c3γ

    How to show that a.(bxc) = λ α.(βxγ) and find out λ?

    I knew the first part where we carry out dot and product rule for vectors a.(bxc),
    but the other side of the equation I have no idea how to start with.
    Anyone knows how to do this?
    Thanks.
     
  2. jcsd
  3. Nov 12, 2012 #2

    Simon Bridge

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    Can you express each of the greek-letter vectors in terms of the latin-letter vectors?
     
  4. Nov 14, 2012 #3
    a=a1(alpha) + a2(beta) + a3(gamma)
    b=b1(alpha) + b2(beta) + b3(gamma)
    c=c1(alpha) + c2(beta) + c3(gamma)

    How to show that a.(bxc) = λ (alpha) .(beta x gamma) and find out λ?
     
  5. Nov 14, 2012 #4

    Simon Bridge

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    ##\alpha = f(a,b,c)##
    ##\beta = g(a,b,c)##
    ##\gamma = h(a,b,c)##

    what are f g and h?
     
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