Help with math gradient

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Homework Statement


hi, any help with proving that grad (v_ . r_) = v_ using spherical polars, where v_ is a uniform vector field would be great
it is trivial to prove using summation convention or cartesian coordinates but having to use spherical polars looks messy...

thanks


Homework Equations


as above/below...


The Attempt at a Solution


i know the identity: grad (a_.b_) = a x curl b + b x curl a + a . grad b + b . grad a
is it true that curl v_ and grad v_ are 0 since v_ is a uniform field? and grad r_ is the unit vector of r_? and curl r_ is 0? where i think r_ is the position vector...
 

Answers and Replies

  • #3
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solved :)
thanks for the links, fzero
 
Last edited:

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