Some complicated vector calculus..

Not sure if the description fits the question I have, but here it goes:

"If a vector function **f**(x,y,z) is not irrotational but the product of f and a scalar function g(x,y,z) is irrotational, show that then:

"

I've been working at this for a couple hours now... I was able to find that since:

and

,

then

I don't even know if this is in the right direction. Help!

Re: Some complicated vector calculus..

Quote:

Originally Posted by

**limddavid** Not sure if the description fits the question I have, but here it goes:

"If a vector function

**f**(x,y,z) is not irrotational but the product of f and a scalar function g(x,y,z) is irrotational, show that then:

"

I've been working at this for a couple hours now... I was able to find that since:

and

,

then

I don't even know if this is in the right direction. Help!

Ya, this looks good! I will use the identity that

From what you have

.

So, , since .

Re: Some complicated vector calculus..

Perfect. Now it's clear. thank you!