The force on a north pole, \( \vec{F}=m \vec{B} \), is parallel to the field \( \vec{B} \). Does...

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The force on a north pole, \( \vec{F}=m \vec{B} \), is parallel to the field \( \vec{B} \). Does it contradict our earlier knowledge that a magnetic field can exert forces only perpendicular to itself?
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