I have the following query:

I need to verfiy:

curl(AxB) = (B.$\displaystyle \nabla$)A - B(divA) - (A.$\displaystyle \nabla$)B + A(divB)

for A=(1,0,0) and B=(x,y,z).

I can do the left side and the div terms of the right side but I am unsure of how to go about working out the other two terms with the $\displaystyle \nabla$ in them.

Please could someone explain to me how to calculate these.

Thanks.