In http://mathworld.wolfram.com/Laplacian.html under(adsbygoogle = window.adsbygoogle || []).push({});

'Using the vector derivative identity' It has that forumula for the laplacian of a vector. In cartesian coords it can be derived but I read in books that the this laplacian on vector fields that are not cartesian can only be defined. But why don't they define it in other systems as the scalar laplacian (wrt to their own coords systems) of each components of their vector field? It would make more sense wouldn't it?

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# Laplancian vector?

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