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The time rate of change of the position of an object
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Resulting Dot and Cross Products in Relativistic Speeds
Imagine the following problem:
Person 1 travels with velocity $v$, and person 2 has a velocity of $u$ according to the rest frame. … $$\mathbf{v} = \langle v,0 \rangle$$ and $$\mathbf{u} = \langle u\cos\theta,u\sin\theta \rangle$$
Now by the relativistic addition of velocities we realize that, the y-component of the Person's 2 in velocity …