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    • https://phys.libretexts.org/Courses/Joliet_Junior_College/JJC_-_PHYS_110/02%3A_Book-_Conceptual_Physics_(Crowell)/2.08%3A_Relativity/2.8.E%3A_Relativity_(Exercises)
      The original square then has an area of 1, and the transformed parallelogram must also have an area of 1. (a) Prove that point P is at x=vγ, so that its (t,x) coordinates are \((\gamma,v\...The original square then has an area of 1, and the transformed parallelogram must also have an area of 1. (a) Prove that point P is at x=vγ, so that its (t,x) coordinates are (γ,vγ). (b) Find the (t,x) coordinates of point Q. (c) Find the length of the short diagonal connecting P and Q. (d) Average the coordinates of P and Q to find the coordinates of the midpoint C of the parallelogram, and then find distance OC. (e) Find the area of the parallelogram by computin…

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