# Vectors

## Home learning focus

Learn about vectors and how to describe them.

This lesson includes:

- a learning summary
- one activity sheet

# Learn

Students looking to achieve grade 4 in GCSE Maths must be able to use vectors to help solve geometrical problems.

Read page 1 of our 'Vectors' Bitesize revision guide to:

- understand what a vector is
- see some examples of vectors

## 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.

x is the movement horizontally and y is the movement vertically.

A positive value of x means a movement to the **right** and a negative value of x means a movement to the **left.**

A positive value of y means a movement **upwards** and a negative value of y means a movement **downwards.**

Vectors are equal if they have the same magnitude and direction regardless of where they are.

A negative vector has the same magnitude but the opposite direction.

Vector **-k** is the same as travelling backwards down the vector **k.**

A quantity that has magnitude but no particular direction is described as **scalar.**

A scalar is a quantity that requires only a size, for example, distance travelled is 20 m.

To learn more about vectors look at the Vectors Bitesize guide here.

# Practise

## Activity 1

**Vectors**

Complete the activity sheet from White Rose Maths on 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.