Question: In a certain inertial frame S, the electric field E and the magnetic field B are neither parallel nor perpendicular, at a particular space-time point.

In a certain inertial frame S, the electric field E and the magnetic field B are neither parallel nor perpendicular, at a particular space-time point. Show that in a different inertial system S moving relative to S with velocity v given by the fields E and B are parallel at that point. Is there a frame in which the two are perpendicular?

V Ex B 1+v/c B+ E/c

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