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

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

In the following diagram, point A has the position vector **a** and point B has the position vector **b**.

* Example: *

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.

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)

Example:

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

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