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In spherical coordinates if we define 2 vectors such as magnetization of a shell M(r,phi,theta) and the magnetic field H(r,phi,theta)

As we know the cross product between them is written in the determinant:

(Capital means unit vectors)

det[(R,r sin(theta) PHI,r THETA);(M(r),M(phi),M(theta));(H(r),H(phi),H(theta))]

My question is, what should I substiute in r and sin(theta)?

I'm now solving a system of differential equations numerically related to this and i don't know what to substitute in theta and r

Thank you for reading, Any one got explanaion? Please give examples...