Here we will learn to distinguish
between vectors and scalars.
Vectors are objects that have both a magnitude,
a single number, and a direction.
Whereas scalars have only a magnitude.
Let's see some examples of each.
The length of something is a scalar
because it's just the magnitude.
A force exerted by someone pulling something
is a vector because we care about the strength
of the force, the magnitude, and the direction
in which the force is acting.
Temperature-- it's a scalar.
If we display temperature on a weather map
where the value of the temperature
is different at each point in space, this is a scalar field.
In comparison, this weather map of wind
where the value of the wind velocity at each point in space
is represented by a vector is a vector field.