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.

Problem solving 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 __________ vector is the single vector that produces the same effect as a combination of other vectors. 

The diagram shows two regular hexagons. Which of these vectors is equal to $$\mathbf p$$?

The diagram shows two regular hexagons. Which of these vectors is equal to $$2\mathbf q$$?

The diagram shows two regular hexagons. Find the vector $$\overrightarrow {DE}$$.

Given $$\mathbf a = {2 \choose 3}$$ and $$\mathbf b = {-1 \choose 2}$$, find $$3\mathbf a + 2 \mathbf b$$

$$ a {3\choose -2} + 4{ 2 \choose b} = {14\choose 0}$$. The value of $$b$$ is {{}}

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

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  $$5 {-1\choose 2}- a{-2 \choose 4} = {3 \choose -6}$$ . The value of $$a$$ is {{}}.

Which of these diagrams can be used to illustrate $$2{6\choose -4}+\frac{1}{2} {-16 \choose -4}$$?

You are given that $$2 {-1\choose5}+k{2 \choose-3} = {-6\choose y}$$. The value of $$y$$ is {{}}.

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