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Using the tensor transformation F = law applied to -Ex-Ey -E B. -B B 0 0 Ez 0 E, -B E. By -B 0

Using the tensor transformation F = law applied to -Ex-Ey -E B. -B B 0 0 Ez 0 E, -B E. By -B 0 (1) show how the electric and magnetic field three-vectors E and B transform (i.e. give explicit expressions for the primed components E, etc.) under a) a rotation about the y-axis by an angle 0, b) a Lorentz boost in the direction with parameter (or speed u = tanho).

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