(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that the magnetic field of a dipole can be written in coordinate-free form: B_dip (r)=(μ_o/(4πr^3 ))[3(m*r ̂ ) r ̂-m]

2. Relevant equations

A_{dip}(r)= (μ_o/(4πr^2))(m*sin(theta))

B_{dip}= curlA= (μ_o*m/(4πr^3))(2cos(theta)(r-direction)+sin(theta)(theta-direction)

3. The attempt at a solution

I figure this must have something to do with the above equations for the vector potential dipole and magnetic field dipole, I just dont have any idea what it means to write in 'coordinate-free form', or how to go about that..

Can anybody point me in the right direction?

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# Write the Magnetic Field of a dipole in coordinate-free form?

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