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

The gradient is a measure of how steep a line is. It is calculated by finding the rate of change in the y-direction with respect to the positive x-direction.

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

Parallel 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

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

Vectors are parallel if they have the same {{ }}.

Which of the following vectors is not parallel to $$12\choose15$$?

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 $$b$$?

A {{ }} is a straight line from the start to end point and covers the shortest distance.

Which is the correct graphical representation of this vector? $$-4\choose-3$$

The diagram shows the column vector $$a\choose-1$$ represents. The value of $$a$$ is {{ }}.

The diagram shows the column vector $$a\choose-2$$. The value of $$a$$ is {{ }}.

Match each vector to its best starting point.

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