- #1
bobfei
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Hello,
I would like to ask a question on curl.
The wikipedia page http://en.wikipedia.org/wiki/Vector_calculus_identities" gives formulas of various operations, among which:
[tex]\nabla \times (A \times B) = A(\nabla \cdot B) - B(\nabla \cdot A) + (\underbrace {B \cdot \nabla }_{{\rm{meaning?}}})A - (A \cdot \nabla )B[/tex]
What does [tex]\underbrace {B \cdot \nabla }_{{\rm{meaning?}}}[/tex] mean in this formula? It appears to me should not be the same as divergence, but besides that what can it stand for?
Can anyone explain this, and preferably give a reference to this?
Bob
I would like to ask a question on curl.
The wikipedia page http://en.wikipedia.org/wiki/Vector_calculus_identities" gives formulas of various operations, among which:
[tex]\nabla \times (A \times B) = A(\nabla \cdot B) - B(\nabla \cdot A) + (\underbrace {B \cdot \nabla }_{{\rm{meaning?}}})A - (A \cdot \nabla )B[/tex]
What does [tex]\underbrace {B \cdot \nabla }_{{\rm{meaning?}}}[/tex] mean in this formula? It appears to me should not be the same as divergence, but besides that what can it stand for?
Can anyone explain this, and preferably give a reference to this?
Bob
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