For AI agents: use /llms.txt for the Nakafa content index.
A position vector is a vector that starts from point (origin) in a coordinate system and ends at another point. This vector plays an important role in determining the position or location of a point in a coordinate system.
Each position vector has the following characteristics:
In general, if we have a point with coordinates in a plane, then the position vector from point to point can be written as .
In three-dimensional space, if point has coordinates , then its position vector is .
In the visualization below, we use the notation , , , and to indicate position vectors from point to specific points (, , , or ).
Suppose there are two points and in the coordinate plane:
Then the position vectors of these two points are:
Position vectors have several benefits in mathematics and its applications:
Displacement vectors can be obtained from the difference between two position vectors. If we have position vectors and , then the displacement vector from to is:
From the previous example, the displacement vector from to is:
Therefore, to move from point to point , we need to move to the right and upward.
