- #1
EmmaLemming
- 19
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Homework Statement
For arbitrary vector fields A and B show that;
∇ ^ (A^B) = (∇ . B)A - (∇.A)B + (B.∇)A - (A.∇)B
Homework Equations
where (A.∇)B = ((A.∇)Bx, (A.∇)By, (A.∇)Bz)
and (A.∇)f = Ax δf/δx + Ay δf/δy + Az δf/δz = (Ax, Ay, Az)( δf/δx, δf/δy, δf/δz)f
The Attempt at a Solution
I asked my lecturer and he said something about finding the x-component and wrote
δ/dy(AyBz - AzBy) - δ/δz(AxBy - AyBx)
on my work but I don't really see how this applies...
Any help would be really appreciated :D