Two inertial observers are one in the laboratory system (we standing in the train station) and the other moving on a tra

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Two Inertial Observers Are One In The Laboratory System We Standing In The Train Station And The Other Moving On A Tra 1 (108.47 KiB) Viewed 11 times

Two inertial observers are one in the laboratory system (we standing in the train station) and the other moving on a train at a constant speed v = (vx. Vy. Vz) regarding us. a) Write the Lorentz transformation that relates both observers. b) Show that the Minkowski metric is invariant for these inertial observers using the Lorentz transformation. c) Write the Velocity Composition Law considering another observer who is moves with speed u = (U₂, Uy U₂) relative to the passenger on the train. Note that the velocity can be written as v = un where n is a normal vector in the direction of the velocity and is the magnitude of the velocity and the same applies to u.