A car travels at a speed of 60 km/hr due north and the other at a speed of 60 km/hr due east. Are the velocities equal? If no, which one is greater? If you find any of the questions irrelevant, explain.
We know that the velocity is a vector quantity and thus both direction and magnitude of velocity are necessary to define it. Since the given velocities have different direction, the two given velocities are not equal. We cannot say that which of the given velocities is greater since the magnitude of given velocities are equal but the direction is different. Therefore, asking question of which of the given velocity is greater, is an irrelevant question.