5 Verify the ɛ- identity: ɛjkɛipq = ÕjpÔkq – djqðkp. Then use this identity to show that(a) ɛilmƐjlm = 2 dij,(b) EijkƐijk6.[Hint: Do not work out all 34=81 possibilities; just check for a few values of i, j, k, p, q.]

The given identity is εijk εipq=δjp δkq-δjq δkp where the εijk is called the alternating tensor or…

Answered: Verify the &-ô identity: Ejkɛipq =…

Verify the &-ô identity: Ejkɛipq = djpôkq – djqðkp. Then use this identity to show that (a) EilmƐjlm = 2 Öij, (b) ƐjjkƐjjk = 6

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.4: Complex Numbers

Problem 59E

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Question

Verify the ɛ- identity: ɛjkɛipq = ÕjpÔkq – djqðkp. Then use this identity to show that
(a) ɛilmƐjlm = 2 dij,
(b) EijkƐijk
6.
[Hint: Do not work out all 34=81 possibilities; just check for a few values of i, j, k, p, q.]

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