# Vectors

## An online exercise on addition and subtraction of vectors, multiplication of vectors by a scalar, and diagrammatic representations of vectors.

##### Level 1Level 2Level 3Level 4DescriptionMore AlgebraMore Geometry

This is level 1; Addition and subtraction of vectors and multiplication of vectors by a scalar.

If $$a=\begin{pmatrix} 5\\ 5\\ \end{pmatrix},b=\begin{pmatrix} 7\\ 7\\ \end{pmatrix},c=\begin{pmatrix} 16\\ -3\\ \end{pmatrix}$$ and $$d=\begin{pmatrix} -9\\ -3\\ \end{pmatrix}$$ evaluate the following:

$$a+b$$

 ( )

$$b+c$$

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$$c+d$$

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$$b-a$$

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$$b-c$$

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$$c-d$$

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$$4a+b$$

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$$b+4c$$

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$$3c+d$$

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$$8b-8a$$

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$$4b-9c$$

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$$a+6c-9d$$

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Check

This is Vectors level 1. You can also try:
Level 2 Level 3 Level 4

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

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#### Roman Numerals Jigsaw

This is a wonderful activity for someone who does not know Roman numerals. By completing the activity an understanding of the symbols develops and a great sense of achievement is enjoyed.

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## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

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## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

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## Description of Levels

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Level 1 - Addition and subtraction of vectors and multiplication of vectors by a scalar.

Level 2 - Diagrammatic representations and the modulus of vectors.

Level 3 - GCSE style exam questions

Level 4 - IB and A Level style questions

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