Talk:Lists of vector identities

This disambiguation page is within the scope of WikiProject Disambiguation, an attempt to structure and organize all disambiguation pages on Wikipedia. If you wish to help, you can edit the page attached to this talk page, or visit the project page, where you can join the project or contribute to the discussion.DisambiguationWikipedia:WikiProject DisambiguationTemplate:WikiProject DisambiguationDisambiguation articles

Thanks. I've been trying to learn TeX and this is how I'm doing it. I know some purists might not appreciate that.

People don't know what this is just by looking at it. A couple sentences exposition would help.-LtNOWIS 04:44, 6 Apr 2005 (UTC)

I changed Green's first identity because the notation was incorrect. All these are the same:

$\left({{\vec {\nabla }}{\rm {f}}\cdot {\vec {\nabla }}{\rm {f}}}\right)=\left[{{\frac {\partial f}{\partial x}},{\frac {\partial f}{\partial y}},{\frac {\partial f}{\partial z}}}\right]\cdot \left[{{\frac {\partial f}{\partial x}},{\frac {\partial f}{\partial y}},{\frac {\partial f}{\partial z}}}\right]=\left({\frac {\partial f}{\partial x}}\right)^{2}+\left({\frac {\partial f}{\partial y}}\right)^{2}+\left({\frac {\partial f}{\partial z}}\right)^{2}=\left\|{{\vec {\nabla }}{\rm {f}}}\right\|^{2}$

but

$\left({{\vec {\nabla }}{\rm {f}}}\right)^{2}$

doesn't exist, and

${\vec {\nabla }}{\rm {f}}^{2}=\left[{{\frac {\partial f^{2}}{\partial x}},{\frac {\partial f^{2}}{\partial y}},{\frac {\partial f^{2}}{\partial z}}}\right]=2f\left[{{\frac {\partial f}{\partial x}},{\frac {\partial f}{\partial y}},{\frac {\partial f}{\partial z}}}\right]=2f{\vec {\nabla }}{\rm {f}}$

is something completely different. Joaoliveira 31-aug-2006 20:00 UTC

Changed back the 2nd cross in

$\nabla \times ({\vec {A}}\times {\vec {B}})={\vec {A}}\times (\nabla \times {\vec {B}})-{\vec {B}}\times (\nabla \times {\vec {A}})-({\vec {A}}\times \nabla )\times {\vec {B}}+({\vec {B}}\times \nabla )\times {\vec {A}}$

but I'm still not convinced it's correct, can't find a source for it anywhere else. Badgerific (talk) 14:41, 3 March 2009 (UTC)[reply]

Hello ... I have extended the article "Vector calculus identities" by adding a few more identities. Now, I think this article is subset of the other article!. So, I would like to suggest to delete(or something equivalent) the article "List of vector identities". If anybody has objection, please let us discuss. zinka 09:29, 5 May 2010 (UTC)