# Position Vector

In these lessons, we will learn what a position vector is and how to find a position vector for a vector between two points.

### What Is A Position Vector?

A vector that starts from the origin (O) is called a position vector.

In the following diagram, point A has the position vector a and point B has the position vector b. Example: #### Tutorial On Vectors

What are 2-dimensional Vectors, 3-dimensional Vectors, Displacement Vectors and Position Vectors?

#### How To Find The Position Vector?

Example:
P is the point (3, 4). $$\overrightarrow {PQ} = \left( {\begin{array}{*{20}{c}}{ - 6}\\3\end{array}} \right)$$.
Find the position vector of Q.

#### Vectors In R2 And R3

Position Vector and Magnitude / Length.
How to find a position vector for a vector between two points and also find the length of the vector?

Example:
a) Find the position vector v for a vector that starts at Q(3, 7) and ends at P(-4, 2)
b) Find the length of the vector found in part a)

#### How To Find The Position Vector Between Two Points?

Example:
Find the position vector between the point A(3, 2) and the point B(-2, 1)

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