# Parallel vectors

## Home learning focus

Learn about and understand parallel vectors.

This lesson includes:

- a learning summary
- one activity sheet

# Learn

Students looking to achieve grade 4 in GCSE Maths must be able to understand and recognise parallel vectors.

Read pages 1 and 2 of our 'Transformation' Bitesize revision guide to:

## Vectors

A vector describes a movement from one point to another. A vector quantity has both **direction** and **magnitude**. The vector can also be represented by a column matrix; this is referred to as a **column vector.**

A vector can be represented by a **line segment** labelled with an arrow.

A vector between two points, A and B, can be described in three ways, using:

- an arrow
- bold font
- an underscore.

The vector can also be represented by a column matrix; this is referred to as a column vector.

## Parallel vectors

When vectors are **parallel,** one of the vectors is **a multiple of the other**. The multiplier is called a **scalar.**

A scalar is a quality that requires only a size, for example, distance travelled is 20 m. A scalar is just a number. If the scalar is negative, the vector will be in the opposite direction. The scalar can be a fraction, this means the vector will be smaller.

These vectors are all parallel. Note the direction does not matter as long one vector is a multiple of the other.

So, to work out if one vector is parallel to another, you need to find out whether **one vector is a multiple** of the other.

Some examples of parallel vectors are listed below:

# Practise

## Activity 1

**Parallel vectors**

Complete the activity sheet from White Rose Maths on parallel vectors to test your knowledge. You can print it out or write your answers on a piece of paper.

Click here for the answer sheet.

# Choose your exam specification

BBC Bitesize has GCSE exam board-relevant content for students in England, Northern Ireland and Wales. Choose the exam specification that matches the one you study.

# There's more to learn

Have a look at these other resources around the BBC and the web.