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

A vector can be used to describe a translation.

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

Addition with vectors

Maths

Checking and securing understanding of translations

Column vectors

Parallel vectors

Subtraction with vectors

Multiplication with vectors

Fluency in arithmetic procedures with vectors

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 {{ }} vector is the single vector that produces the same effect as a combination of other vectors.

Match each addition of two vectors to the correct resultant.

You are given that $${4\choose4} +{a\choose-7} =  {12\choose-3}$$. The value of $$a$$ is {{ }}.

You are given that $${-3\choose4}+ {a\choose2} + {-2\choose-1} = {-1\choose-5}$$. The value of $$a$$ is {{ }}.  

Which vector addition is represented by this diagram?

Vector c is $${-4 \choose -1 }+ {-2 \choose -3}={-4 \choose 2 }$$

Vector c is $${-4 \choose -1 }+ {-2 \choose -3}={-6 \choose -4 }$$

Vector c is $${-4 \choose -1 }- {-2 \choose -3}={-2 \choose2 }$$

Vectors c and d are equal, so parallel, & ABCD is a trapezium

Vector c is $$-2\times$$ vector d, so c and d are parallel & ABCD is a trapezium

ABCD is a quadrilateral. The vector a is $$-4\choose -1$$, the vector b is $$-2 \choose -3$$ and the vector d is $$3 \choose 2$$. Select the correct steps to show that ABCD is a trapezium. 

Two lines are parallel if they are straight lines that are always the {{}} (non-zero) distance apart.

Vectors with the same gradient are {{ }}.

Which of the following vectors is not parallel to $$24\choose32$$?

The diagram shows a parallelogram. The base of the parallelogram is horizontal. What is the column vector for side $$a$$?

The diagram shows a parallelogram. The base of the parallelogram is horizontal. What is the column vector for side $$b$$?

Addition with vectors

Lesson outcome