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

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.

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 {{ }}.  

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