1. The problem statement, all variables and given/known data Prove that: ∇×(a∙∇a) = a∙∇(∇×a) + (∇∙a)(∇×a) - (∇×a)∙∇a 2. Relevant equations Related to the vorticity transport equation. 3. The attempt at a solution Brand new to index/tensor notation, any suggestions on where to begin? For example, I am having trouble converting to index notation with differentials inside the curl on the LHS.