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Homework Help: Tensor? Matrix? Question. Please help me.

  1. Mar 6, 2009 #1
    1. The problem statement, all variables and given/known data
    I don't know how to prove it.
    Let us consider two arbitrary vectors
    ⃗ A and ⃗B.
    Let us define the vector product of them as
    ⃗C = ⃗A × ⃗B
    Show that the vector ⃗C belongs to the Rank 1 tensor. In other words,
    prove that
    C′i = λij Cj
    Ci ≡ ϵij k Aj Bk
    C′i ≡ ϵijk A′j B′k

    2. Relevant equations

    3. The attempt at a solution
    I just tried, but I don't know about it.
  2. jcsd
  3. Mar 7, 2009 #2


    User Avatar
    Homework Helper
    Gold Member

    Hi zorrorojo, welcome to PF!:smile:

    You'll need to be more specific than "I just tried, but I don't know about it" in order to get assistance here.

    What exactly did you try? Show your attempt.
  4. Oct 29, 2010 #3
    pls answer these qoestion:
    1)expand the following
    aibj ϵijk=
    ϵjkl (du,l/dx,k)
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