Understanding the Curl of a Vector Potential in Spherical Coordinates

[saybrook1]

Homework Statement

For some reason I can't find anywhere online that gives a good example of the curl of a vector function in spherical coordinates. I need to compute ∇ X A where

A = \frac{ksinθ}{r^{2}}\widehat{ϕ}

If anyone can point me in the right direction of a good video or text tutorial that shows the curl of a vector potential in spherical coordinates I would really appreciate it. Thanks.

Homework Equations

I know how the curl is set up in spherical coordinates from my textbook I'm just not one hundred percent sure how to go about it.

The Attempt at a Solution

 

[arildno]

Well mathworld.wolfram has the expression for general curvilinear coordinates,
http://mathworld.wolfram.com/Curl.html

while Wikipedia provides you with the spherical curl expression here (take care of how THEY define the names of the angles, in particular, check if that corresponds to your own names!)
https://en.wikipedia.org/wiki/Nabla_in_cylindrical_and_spherical_coordinates

 

[saybrook1]

Just figured it out, thanks a ton!