Wolfram Error - Spherical Unit Vectors Check

[Syrus]

Homework Statement

Folks, I think Wolfram has a mistake published here: http://mathworld.wolfram.com/SphericalCoordinates.html

Their spherical unit vectors (for theta and phi) seem to be erroneous. Can someone double check this?

Homework Equations

The Attempt at a Solution

 

[Dick]

Homework Statement

Folks, I think Wolfram has a mistake published here: http://mathworld.wolfram.com/SphericalCoordinates.html

Their spherical unit vectors (for theta and phi) seem to be erroneous. Can someone double check this?

Homework Equations

The Attempt at a Solution

I doubt it's wrong. But there is more than one convention for what theta and phi mean in spherical coordinates. mathworld explains which one it's using. What's yours?