A vector can be used to describe a translation.

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

A resultant vector is the single vector that produces the same effect as a combination of other vectors.

Fluency in arithmetic procedures 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

The distance from the starting point when measured in a straight line is called the {{ }}.

Find the resultant vector of $$3 {2\choose -3}+4{-1 \choose 2}$$.

Find the resultant vector of  $$3 {2\choose -3}-4{-1 \choose 2}$$.

You are given that  $$5 {-1\choose 2}- a{-2 \choose 4} = {1 \choose -2}$$ . The value of $$a$$ is {{}}.

Which of these diagrams can be used to illustrate $$4{3\choose -2}+2 {-4 \choose -1}$$?

You are given that $$2 {-1\choose5}+k{2 \choose-3} = {4 \choose y}$$. The value of $$y$$ is {{}}.

A scalar has neither magnitude nor direction.

Which of the following statements about a scalar quantity is correct?

The vector $$k {2 \choose 4}$$ 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 $$-3 {4 \choose -6}= {a \choose b}$$ . Find the value of $$a$$ and of $$b$$.

You are given that $$x {8 \choose y}={24 \choose -15}$$. Find the value of $$x$$ and of $$y$$.

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