Why are vectors important to the concept of relative velocity?

?2020-10-28T22:30:07Z

Because relative velocities can be represented as vectors.  And using vectors make relative velocity calculations simple.

E.g.
vAB is the velocity of A relative to B
vBC is the velocity of B relative to C
then the velocity of  A relative to C is
vAC = vAB + vBC

(Note this is not simple addition of 2 numbers; for example vAB could be 20m/s north and vBC could be 5m/s southeast.  The calculation must allow for directions as well as the speeds.)