Back
to top
I need help on this vector calculus question...
Watch
Announcements
Page 1 of 1
Go to first unread
Skip to page:
Prove that if f is a (smooth) scalar field and G is an irrotational vector field, then
(∇f × G )f is solenoidal
Ive got the identities in front of me but i dont know how to apply them to this question.
Any help will be appreciated
(∇f × G )f is solenoidal
Ive got the identities in front of me but i dont know how to apply them to this question.
Any help will be appreciated
1
reply
(Original post by TeeEm)
Irrotational means curl is zero
solenoidal means divergence is zero
Take the divergence of
(∇f× G )f
and see what happens
Irrotational means curl is zero
solenoidal means divergence is zero
Take the divergence of
(∇f× G )f
and see what happens
(∇f× G )f =0 and work from there??
0
reply
(Original post by TeeEm)
Yes
I do not remember right now all the vector identities, but there would be curlG also appearing in the proof which of course they would be zero
Yes
I do not remember right now all the vector identities, but there would be curlG also appearing in the proof which of course they would be zero
∇ · (F×G ) = (∇ × F )·G − F· (∇ × G )
Ive gone through all of my identities and picked these 2 out that can solve this. Are these 2 suitable for this question??
0
reply
X
Page 1 of 1
Go to first unread
Skip to page:
Quick Reply
