Problem

In a certain inertial frame S, the electric field E and the magnetic field B are neither...

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 moving relative to S with velocity v given by

the fields are parallel at that point. Is there a frame in which the two are perpendicular?

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