In mathematics and physics, we have physical quantities which can be categorized in two ways, namely it’s a scalar quantity or a vector quantity. Let us now see what vector and scalar is?

The physical quantities which have **only magnitude** are known as scalar quantities. For example, if I say that the height of a tower is \( 15 meters \)

Other examples of scalar quantities are mass, speed, distance, time, energy, density, volume, temperature, distance, work and so on. In simple language scalar is a measure of a quantity.

Coming to vectors, the physical quantities for which** both magnitude and direction** are defined distinctly are known as vector quantities. For example, a boy is riding a bike with a velocity of \( 30km/hr \)

__Representation of a Vector:__

Let us have a look at the line segment drawn below.A vector quantity always has a starting point and an end point. The two end points of the given line segment are distinguishable as and. It represents a directed line segment

The directed line segment with an initial point \( A \)

Therefore, if \( \overrightarrow{AB} = a \)

Now we are familiar with what are vectors and scalars. Now if somebody asks if acceleration is a vector or a scalar, we can easily tell that it’s a vector because it has direction as well as magnitude. Similarly, when asked if distance is a vector or scalar, it is quite evident that as distance has only magnitude, it is a scalar quantity.

Keep learning with Byjus to learn better.