Problems with vector questions

  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. Simon Bridge

    Simon Bridge 15,053
    Science Advisor
    Homework Helper
    Gold Member

    Can you express each of the greek-letter vectors in terms of the latin-letter vectors?
     
  4. 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. Simon Bridge

    Simon Bridge 15,053
    Science Advisor
    Homework Helper
    Gold Member

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

    what are f g and h?
     
Know someone interested in this topic? Share a link to this question via email, Google+, Twitter, or Facebook

Have something to add?