I have to prove that vectors in spherical coordinates are clockwise

[Danielle46]

Homework Statement

I have to prove that vectors in spherical coordinates are clockwise.

Relevant Equations

see here: https://math.stackexchange.com/questions/243142/what-is-the-general-formula-for-calculating-dot-and-cross-products-in-spherical

I should use the cross product but I don´t know how. I tried to calculate it but it didn´t work out as expected. Please can you give me one example how to do it ?

 

[PeroK]

You should see from the diagrams on this page that $\hat r, \hat \phi, \hat \theta$ forms a right-handed orthonormal basis at every point. Or, should that be $\hat r, \hat \theta, \hat \phi$?

https://mathworld.wolfram.com/SphericalCoordinates.html

or:

https://en.wikipedia.org/wiki/Spherical_coordinate_system

 

[vela]

Homework Statement:: I have to prove that vectors in spherical coordinates are clockwise.

I have to admit. I don't even know what this means.