A Show E 8729 B Is Relativistically Invariant

(a) Show that (E ∙ B) is relativistically invariant.

(b) Show that (E2 – c2B2) is relativistically invariant.

(c) Suppose that in one inertial system B = 0 but E ≠ 0 (at some point P). Is it possible to find another system in which the electric field is zero at P?

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