Show thatJσijDij=TiLFiL˙=SABEAB˙[Hints: (a) to prove the first equation, use the relationship between FiL˙ and Lij, and expandLij into symmetric and antisymmetric parts. Note the symmetry of σij. (b) To prove thesecond equation, first express EAB˙ using FiL, then take the time derivative. Substitute intothe definition of SAB in index form and simplify.]