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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...