Recent content by buttertop

Thanks for all of your help glebovg, I think I'm on the right track. One thing though: I'd like to be able to express it in terms of the angles \theta and \phi between the two vectors, so there's only one value of \theta and \phi (\rho, too, but that is equal to 1 and won't show up, I believe)...

Hmm... I don't think the divergence is what I'm looking for exactly. Basically, this is the setup: there are two vectors centered on the origin. I know \rho, \theta and \phi. How do I express the dot product of the two vectors in these terms?

Ah, of course, sorry I misunderstood. In this case I believe \rho is equal to 1. Is there a way to use the i, j and k identities you mentioned to express the dot product in terms of \rho, \theta and \phi?

So if I have two vectors, they can each be described by the angles \theta and \phi, roughly equivalent to the azimuth and the altitude of a sphere, right? So what I'd like to know is what the dot product is between two vectors in terms of these angles. I know, at least in cartesian coordinates...

Ah, sorry, by "unit vector" all I meant was both vectors have unit length, so ||A|| ||B|| = 1. Even if this didn't apply, I'm wondering if A∙B = ||A|| ||B|| cos(\theta) sin(\phi).

Homework Statement What is the dot product of two unit vectors in spherical coordinates?Homework Equations A∙B = ||A|| ||B|| cos(\theta) = cos(\theta)The Attempt at a Solution The above equation is the only relevant form of the dot product in terms of the angle \theta that I can find. However...