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.

This lesson will be removed by end of Summer Term 2025.

Parallel vectors

Lesson outcome

This lesson will be removed by end of Summer Term 2025.