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given are events E1( t=9a, x= 3ly) and E2 (t=3a, x= 6ly) S' is moving at a velocity of Beta= 0.8 relative to S.
a) calculate E1' and E2', the lorentz transformations of E1 and E2
b) calculate the distances E1E2 and E1'E2' with the four dimensional scalar product of the time position vector within itself
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The direction angle of a vector is defined as its positive angle relativeto the positive x-axis.
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