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Suppose two bodies A and B are moving perpendicular to each other with velocities 'a' and 'b'.
A with 'a'
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>B with 'b'
Now how would they measure their relative velocitites?As A's velocity in the direction of motion of B = 0 ,B would feel that A is moving away(linearly) from it with a velocity'b'
And A would feel that B is moving away with velocity 'a'.
Now how do we compare their relative velocity? This is in order to aply the Lorentz transfomation.
A with 'a'
^









>B with 'b'
Now how would they measure their relative velocitites?As A's velocity in the direction of motion of B = 0 ,B would feel that A is moving away(linearly) from it with a velocity'b'
And A would feel that B is moving away with velocity 'a'.
Now how do we compare their relative velocity? This is in order to aply the Lorentz transfomation.