Final direction and velocity of two velocities [World Velocity and Local Velocity]

Hello everyone,

Consider Local and World transformation components are aligned to each other for a particle system. That is x of Local is aligned with x of World co-ordinate.

Now if I set x component of World and local velocities to 1 [keeping rest to 0], particles start flowing towards x axis with velocity greater than 1.

Now if I set one of the x component velocity to -1 and other +1, the particles don't flow in any direction. But if I rotate the particle system, I see particle flowing along local x component.

Could any one please explain me what would be the direction and speed when Local and World Velocities both involved?

Thanks, Sanjay Maurya