A scalar is a quantity that has magnitude but not direction.

Displacement is the distance from the starting point when measured in a straight line.

Multiplication with vectors

Maths

Checking and securing understanding of translations

Column vectors

Parallel vectors

Addition with vectors

Subtraction with vectors

Fluency in arithmetic procedures with vectors

Algebraic vector notation

Parallel vectors in algebraic vector notation

The sum and difference with algebraic vector notation

Fluency in arithmetic procedures with algebraic vector notation

Calculating the magnitude of a vector

Dividing vectors into ratios

Geometric proofs with vectors

Advanced problem solving with vectors

In the prior unit, pupils described a translation using column vector notation. Pupils' understanding of vectors is further developed in this unit, with pupils exploring column vector notation and arithmetic procedures.

In this unit, pupil understanding of vectors is deepened with pupils exploring column vector notation and arithmetic procedures.

Vectors

A {{}} is a quantity that has magnitude but not direction.

The vector $$k {1 \choose 2}$$ represents the displacement A to B. The value of $$k$$ is {{ }}.

The diagram shows the vector **a**. Which of the following shows −0.25**a**?

Match each scalar and vector to the resultant vector.

You are given that $$3 {5 \choose -4}= {a \choose b}$$ . Find the value of $$a$$ and of $$b$$.

You are given that $$x {6 \choose y}={24 \choose -36}$$. Find the value of $$x$$ and of $$y$$.

Find the additive inverse of $$ -4 \choose 3$$.

Match each subtraction to its equivalent addition.

You are given that $${2\choose3}- {a\choose-3} = {-3\choose6}$$. The value of $$a$$ is {{ }}.  

Which vector subtraction can be represented by this diagram?

You are given that $${7\choose3}- {a\choose3} - {-3\choose-2} = {5\choose2}$$. The value of $$a$$ is {{ }}.  

Starter Quiz

Find the additive inverse of $$ -4 \choose 3$$.