Hi dear friends, I have a question and I cannot do any of them! I'm so frustrated and I fell into bad mental block now. Please help me, I feel so helpless this moment. Please help me and show me some details. I will really appreciate for that.
Question: F and G both are vector fields. Prove identity div (F cross G)=G dot (curl F)-F dot (curl G)
So this is the identity which says "divergence of vector field A cross B = A dot (curl B)-B dot (curl A)"
Please help me, thanks a lot, I still cannot get it. I'm trying to prove by definition, so I just expand everything, but I end up quite messy.