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

Related Topics: More Vector Lessons

**What is a Position Vector?**

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

**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 R**^{2} and R^{3}

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)

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

Related Topics: More Vector Lessons

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)

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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