(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The vectorsFandGare arbitrary functions of position. Starting w/ the relationsFx (∇ xG) andGx (∇ xF), obtain the identity

∇(F.G) = (F. ∇)G+ (G. ∇)F+Fx (∇ xG) +Gx (∇ xF)

2. Relevant equations

3. The attempt at a solution

I started off with the relationFx (∇ xG) and used the BAC-CAB rule:

Fx (∇ xG) = ∇(F.G) - (G. ∇)F

so ∇(F.G= (G. ∇)F+Fx (∇ xG) which seems to contradict the identity I am supposed to get. What am I doing wrong?

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Obtaining vector identities

**Physics Forums | Science Articles, Homework Help, Discussion**