(a) Show, using the properties of determinants under interchanges of rows and / or columns, that but dim din EijkElmn = K oj ojm 6kl okm okn and determine the constant K. By setting / = k and summing over k from 1 to 3 deduce that b) Eijkekmn = dimoin - dinojm, and hence that C) Eijkeljk = 20il, d) Eijkijk = 6. In these expressions the Einstein summation convention is used. Use the result (b) to show that a x (b x c) = (a . c)b - (a . b)c