I have the following query:

I need to verfiy:

curl(AxB) = (B. )A - B(divA) - (A. )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 in them.

Please could someone explain to me how to calculate these.

Thanks.

Originally Posted by jedoob

I have the following query:

I need to verfiy:

curl(AxB) = (B. )A - B(divA) - (A. )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 in them.

Please could someone explain to me how to calculate these.

Thanks.

By definition is a vector. So:


That means:

(Recall that the dot product always produces a scalar quantity.)

and


Note that the order of these are important: .

That means that


and

since A is a constant vector.

-Dan