Question

can two velocities be added in such a way as to give a resultant with zero magnitude? if so give an example of such situation

Answer 1

Yes, if they are equal and opposite. Example: one velocity is 10MPH going North, and the second is 10MPH going south. Resultant: Zero

Answer 2

Yes, two velocities can be added to give a resultant of 0 magnitude. The velocities should be equal in magnitude and opposite in direction.

Example: Let one velocity is 5m/s towards the east ($+5\ \hat i$) and another velocity is 5m/s towards the west ($-5\ \hat i$).
The resultant = $+5\ \hat i\ +(-5\ \hat i) = +5\ \hat i\ -5\ \hat i = 0$