Q.1 Show that the Gallilean transformations leave the expression x + y + x + ct...

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Q.1 Show that the Gallilean transformations leave the expression x² + y² + x² + c²t² invariant whereas the same expression is not invariant under Lorentz transformations. Q.2 Show that the Lorentz transformations leave the expression x² + y² + 2²-c²t² invariant. Q.3 By using a parameter a definded by tanh a v/c, show that the Lorentz transformation equations may be written as = x = x cosh act sinh a, y = y, z = z, ct' = ct cosha x sinh a. Q.1 Show that the Gallilean transformations leave the expression x² + y² + x² + c²t² invariant whereas the same expression is not invariant under Lorentz transformations. Q.2 Show that the Lorentz transformations leave the expression x² + y² + 2²-c²t² invariant. Q.3 By using a parameter a definded by tanh a v/c, show that the Lorentz transformation equations may be written as = x = x cosh act sinh a, y = y, z = z, ct' = ct cosha x sinh a.

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