Derive the Lorentz transformation connecting a frame S (the lab frame) to a frame S′ that moves with respect to S with a velocity in the xy plane. This velocity makes an angle ϕ with the x axis of S and has speed v .In order to solve this, take the route of two successive Lorent transformations, one along the x axis followed by one along the y axis.

Derive the Lorentz transformation connecting a frame S (the lab frame) to a frame S′ that moves with respect to S with a velocity in the xy plane. This velocity makes an angle ϕ with the x axis of S and has speed v .In order to solve this, take the route of two successive Lorent transformations, one along the x axis followed by one along the y axis.