Derive the Lorentz transformation connecting a frame SS (the lab frame) to a frame S′S′ that moves with respect to SS with a velocity in the xyxy plane. This velocity makes an angle ϕϕ with the xx axis of SS and has speed vv. In order to solve this, take the route of two successive Lorentz transformations, one along the xx axis followed by one along the yy axis.

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Derive the Lorentz transformation connecting a frame SS (the lab frame) to a frame S′S′ that moves with respect to SS with a velocity in the xyxy plane. This velocity makes an angle ϕϕ with the xx axis of SS and has speed vv.

In order to solve this, take the route of two successive Lorentz transformations, one along the xx axis followed by one along the yy axis.

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