For a monochromatic plane wave, the vectors (E,B, k) form a right-handed orthogonal triad. Prove that this

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For a monochromatic plane wave, the vectors (E,B, k) form a right-handed orthogonal triad. Prove that this is a Lorentz invariant statement because GμνFμν is a Lorentz scalar and kμFμν is a four-vector.

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