- #1

eyenkay

- 7

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## Homework Statement

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]

## Homework Equations

**A**

_{dip}(

**r**)= (μ_o/(4πr^2))(m*sin(theta))

**B**

_{dip}= curl

**A**= (μ_o*m/(4πr^3))(2cos(theta)(r-direction)+sin(theta)(theta-direction)

## 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 don't 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?