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

Checking and securing understanding of translations

Column vectors

Parallel vectors

Addition with vectors

Subtraction with vectors

Multiplication with vectors

Fluency in arithmetic procedures 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 __________ 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 {{}}.

Problem solving with vectors

Lesson outcome