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

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.

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 $$b$$?

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