- #1

- 840

- 14

[tex] \nabla \times (A\times B) = (B\cdot \nabla )A - (A\cdot \nabla )B + A(\nabla \cdot B) - B(\nabla \cdot A) [/tex]

Ok, we have this

[tex] \nabla = (\partial /\partial x,\partial/\partial y,\partial /\partial z) [/tex]

and for dot products

[tex] a\cdot b = b\cdot a [/tex]

Therefore in the product rule given above, is it not the case

[tex] (B\cdot \nabla )A = A(\nabla \cdot B) [/tex]

and similarly, the other two terms on the RHS are equal?

Thank-you for your help.