Solving Lorentz Transformation Problems: Prove & Calculate Angle

[tamanna_rc]

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!

 

[granpa]

prove that all vectors representing motion in Minkowski space have the same length.

 

[tamanna_rc]

can u please give the whole derivation.
thanks