Do Perpendicular Velocities Affect Relative Motion?

[rashida564]

TL;DR Summary

Is perpendicular velocities stay the same

Let's say we have two people that travel with respect to each, other in some inertial frame. So if we took the relative velocity of them will they be the same in as v^12+v2^2

 

[Orodruin]

Summary:: Is perpendicular velocities stay the same

Let's say we have two people that travel with respect to each, other in some inertial frame. So if we took the relative velocity of them will they be the same in as v^12+v2^2

No. If you tell us a bit more about your background and how you arrived at your result it would be easier to help you.

Also note that $v_1^2 + v_2^2$ is not a velocity, it has the units of velocity squared.