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Vector Calculus - Tensor Identity Problem

  1. Dec 7, 2016 #1
    1. The problem statement, all variables and given/known data

    upload_2016-12-7_18-43-21.png

    2. Relevant equations
    upload_2016-12-7_18-43-51.png

    upload_2016-12-7_18-45-54.png

    3. The attempt at a solution

    I am really lost here because our professor gave us no example problems leading up to the final exam and now we are expected to understand everything about vector calculus.

    upload_2016-12-7_18-53-52.png

    This is my attempt at the cross product and dot product written out. I don't know how to proceed to make the left hand side equal the right hand side.
     
  2. jcsd
  3. Dec 7, 2016 #2
    Use the expression for the scalar product between two vectors ##\mathbf{a}## and ##\mathbf{b}##:
    $$\mathbf{a}\cdot\mathbf{b}=\sum_i a_i b_i $$
     
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