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Trouble understanding the proofs in Marion and Thorton

  • Thread starter Winzer
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  • #1
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Homework Statement


I am having trouble understanding the proofs in Marion and Thorton [Newest Edition]. The section where he goes through proof of products in tensor notation. An example is page 26 example 1.6. I don't get the switching of the indices on the very last part. Also can someone prove to me that [tex] \vec{A}\times \vec{B}=-\vec{b}\times \vec{A}[/tex] using tensor summation notation. Want to make sure I am doing it right.
 

Answers and Replies

  • #2
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I'm not sure that this is the answer you are looking for, but I think you can just write out both sides of the equation using tensor notation (i.e. using the Levi-Civita symbol), and remember that Levi-Civita is antisymmetric.
 

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