Determine the speed of the Lorentz transformation in the x-direction for which the velocity in the frame of a particle is u = (c/√2, c/√2) and the velocity in frame is seen as u = (−c/√2, c/√2).
The z-component of velocity is zero; hence the particle must be moving in the x y =plane. Further, the y-component of velocity is unchanged. This implies that the Lorentz transformation is to be made along x-axis