- #1
dooogle
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Homework Statement
i have to prove that
∇x(FxG)=(G⋅∇)F-(F⋅∇)G+F(∇⋅G)-G(∇⋅F)
where F and G are vector fields with F=F1,F2,F3 and G=G1,G2,G3 ∇=d/dx,d/dy/d/dz
Homework Equations
The Attempt at a Solution
i have tried applying scalar multiplication and the cross product to multiply out the terms
and have got the right hand side as twice the left hand side.
is (G⋅∇)F equal to F(∇⋅G)?
thank you for your time
dooogle