Recent content by baffledboy
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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}...- baffledboy
- Post #5
- Forum: Calculus and Beyond Homework Help
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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...- baffledboy
- Post #3
- Forum: Calculus and Beyond Homework Help
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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) -...- baffledboy
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- Identity Index Index notation Notation Proof Vector Vector identity
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- Forum: Calculus and Beyond Homework Help