Question

A car has a velocity $\overrightarrow{v}=80km/hr$ towards east. Another car on the road has a velocity = $\overrightarrow{-v}$. The magnitude and direction of velocity of second car is

• A. 80 km/hr towards south
• B. 80 km/hr towards west
• C. Direction cannot be determined from the given information
• D. Speed of the second car cannot be determined from the given information.

Answer 1

The correct option is B 80 km/hr towards west

We know that negative of a vector has the same magnitude but the opposite direction. So the second car having velocity $\overrightarrow{-v}$ will have same speed (magnitude) as that of first car which is 80 km/hr, but the direction will be opposite. So the direction of the second car will be towards west, opposite to that of first car.