Solving Lorentz Transformation Problems: Prove & Calculate Angle

tamanna_rc
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Can anybody please help me with the solutions for the following 2 probs-

1. Prove that Lorentz Transformation is rotation in 4D Minkowski's space.

2. If particle velocity is along x,y plane, calculate the angle transformation relation.

Thanks in advance!
 
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prove that all vectors representing motion in Minkowski space have the same length.
 
can u please give the whole derivation.
thanks
 

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