# 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.

# 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.