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Cross product between vecter and tensor

  1. Nov 20, 2008 #1
    1. The problem statement, all variables and given/known data

    Just wanted to ask what's the definition of the cross product between a vector and a range two tensor


    3. The attempt at a solution

    [tex](x \times \hat{T})_{i\beta}=\epsilon_{ijk} x_j T_{k\beta} [/tex]
     
    Last edited: Nov 20, 2008
  2. jcsd
  3. Nov 3, 2009 #2
  4. Nov 3, 2009 #3
    if those were true, then is the following correct ?

    [tex]

    -(\hat{T}^{T} \times x) = (x \times \hat{T})^{T}

    [/tex]
     
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