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The four-vectors of position, momentum and velocity are defined as: r = (ct, r), p= (E/c,...

The four-vectors of position, momentum and velocity are defined as: r = (ct, r), p= (E/c, p) and u= γ(c, v), respectively. The Lorentz factor is γ = 1/(1-v2/c2)1/2. Show that the square of each of these four-vectors is a relativistic invariant.

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