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prove the following simpler and more useful relations: a) €ijk imn = 8jm 8kn - jn8km; b) €ijk €ijn 20kn-

prove the following simpler and more useful relations: a) €ijk imn = 8jm 8kn - jn8km; b) €ijk €ijn 20kn-

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KRONECKER DELTA AND LEVI-CIVITA SYMBOL

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4. Given the most general identity relating the Levi-Civita symbol to the Kronecker delta, €ijk €1mn = dil (djm³kn - §jn ³km) – Sim (§¡§kn – ðjn³k¹) + ³in (§jiðkm – djm³k¹), - - prove the following simpler and more useful relations: a) €ijk€imn = Sjm³kn - Sjn³km ; = b) €ijk €ijn = 28kn-
Transcribed Image Text:4. Given the most general identity relating the Levi-Civita symbol to the Kronecker delta, €ijk €1mn = dil (djm³kn - §jn ³km) – Sim (§¡§kn – ðjn³k¹) + ³in (§jiðkm – djm³k¹), - - prove the following simpler and more useful relations: a) €ijk€imn = Sjm³kn - Sjn³km ; = b) €ijk €ijn = 28kn-
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