1. The problem statement, all variables and given/known data Show that: [itex]curl(r \times curlF)+(r.\nabla)curlF+2curlF=0[/itex], where r is a vector and F is a vector field. (Or letting [itex]G=curlF=\nabla \times F[/itex] i.e. [itex]\nabla \times (r \times G) + (r.\nabla)G+2G=0[/itex]) 3. The attempt at a solution I used an identity to change it to reduce (?) it to [itex](\nabla.G)r+(G.\nabla)r-(\nabla.r)G-(r.\nabla)G+(r.\nabla)G+2G[/itex] [itex](\nabla.G)r+(G.\nabla)r-(\nabla.r)G+2G[/itex] I'm not sure where to go from here to show that it's equal to zero. At the moment the only approach I know of is to compute all the components an hope they sum up to zero but surely there's another identity that can simplify this a bit further.