What is the difference between a scalar and a vector?

A quantity that has magnitude (size), but no direction, is a scalar. A quantity that has magnitude (size) AND direction is a vector.

Scalar quantities just have a magnitude. The direction does not matter.

Examples of scalar quantities are speed, distance, mass, and energy.

Vector quantities have a direction as well as a magnitude. They are often drawn as arrows on a diagram. When answering a question you may need to describe the direction (i.e a force of 3N straight downwards, a velocity of 7m/s North, a momentum of 16 kgm/s to the right). You may also need to resolve the vectors into their components before doing calculations with them.

Examples of vector quantities are force, momentum, velocity, displacement, and acceleration.

If an object is traveling at a constant speed, but changes direction (such as a car going around a roundabout, or a satellite in orbit), then its scalar speed will remain the same, but its vector velocity will change.

AV

Related Physics A Level answers

All answers ▸

Why is an object that moves in a circular path accelerating when it has constant speed?


A cyclist rides 10km. In the first 5km, they climb a hill, averaging 10km/h. In the second 5km, they descend the hill, averaging 30km/h. What is their average speed over the full 10km?


A 1kg spring has an unloaded length 10cm and has an elastic constant of 100N/m. It is compressed to 6cm then placed facing upwards on the floor. When released it travels vertically upwards. How high does it jump? You may assume no energy is lost to heat o


What is damping in Simple Harmonic Motion?