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is there any general formula to find out the final velocity w, happened by a boost in x direction forst and then to y direction?

I could find the boost matrices for both and I know it's not purely another boost, rather a boost and a rotation, but I am really confused which formula to use to find w.

does the relativistic velocity addition formula apply here ? (u+v)/(1+uv/c^2)?

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# Velocity addition for orthogonal boosts in SR

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