Let A (Vector) be a four-vector and let (B 1 ,B 2 ,B 3 ,B 4 )

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Let A(Vector) be a four-vector and let (B1,B2,B3,B4) be an ordered set of four variables with unknown properties. Prove that this set constitutes a four-vector B(Vector) if Aμ Bμ is a Lorentz invariant scalar for any choice of A(Vector).

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