A **point** is a location in space.

In geometry, a **point** is a location in space.
A point does not have any size, its only property is location.
In computer graphics, a point is usually the vertix of
a 3D figure.

A geometrical **vector** has two properties:
length and direction.
A vector does not have a fixed location in space.
If it did, it would be a line segment.
It seems odd to talk about something that does
not have a location
but this makes 3D computer graphics easier.

This combination of "distance and direction"
is sometimes called a **displacement**.
Often the same displacement (i.e. just one displacement)
is applied to each of several points.
For example,
consider a cube.
The front face contains four vertices (four points).
If you move the same distance and direction from
each of these points you reach the four vertices of
the back face.

The "same distance and direction" is a vector, shown here as a line with an arrow head. The diagram shows this one vector four times, once for each point of the face.