Recent content by baffledboy

  1. B

    Vector identity proof using index notation

    okay, so I've got \epsilon_{ade}\epsilon_{ebc}\partial_{d}A_{b}B_{c} = \left(\delta_{ab}\delta_{dc}-\delta_{ac}\delta_{db}\right)\partial_{d}A_{b}B_{c} = \partial_{d}A_{a}B_{d}-\partial_{d}A_{d}B_{a} = \vec{A}\left(\vec{\nabla}\bullet\vec{B}\right)-\left(\vec{\nabla}\bullet\vec{A}\right)\vec{B}...
  2. B

    Vector identity proof using index notation

    Thanks for your response. I'm not sure what system the professor is using. He doesn't use superscripts at all and uses commas for derivatives. He didn't give a name for it other than "index notation" though. is it okay to just change \epsilon_{ade}\partial_{d}\epsilon_{ebc}A_{b}B_{c} to...
  3. B

    Vector identity proof using index notation

    Homework Statement Using index notation to prove \vec{\nabla}\times\left(\vec{A}\times\vec{B}\right) = \left(\vec{B}\bullet\vec{\nabla}\right)\vec{A} - \left(\vec{A}\bullet\vec{\nabla}\right)\vec{B} + \vec{A}\left(\vec{\nabla}\bullet\vec{B}\right) -...
Back
Top