Vectors

An online exercise on addition and subtraction of vectors and multiplication of a vector by a scalar.

Level 1Level 2Level 3Level 4Level 5DescriptionHelpMore Vectors

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

If $$a=\begin{pmatrix} 2\\ 2\\ \end{pmatrix},b=\begin{pmatrix} 9\\ 12\\ \end{pmatrix},c=\begin{pmatrix} 10\\ -9\\ \end{pmatrix}$$ and $$d=\begin{pmatrix} -5\\ -2\\ \end{pmatrix}$$ evaluate the following:

$$a+b$$

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$$b+c$$

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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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$$2a+b$$

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$$b+8c$$

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$$2c+d$$

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$$2b-4a$$

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$$3b-7c$$

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$$a+9c-4d$$

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Check

This is Vectors level 1. You can also try:
Level 2 Level 3 Level 4 Level 5

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.

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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.

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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 - Diagrammatic representations and ratios.

Level 4 - GCSE style exam questions

Level 5 - IB and A Level style questions

More Vectors A link to the curriculum page for vectors.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

And now for something completely different. Help the cops catch the robbers by finding the vectors that will end the chase.

Transum.org/go/?to=Vectorcops

Example

The video above is from Corbett Maths.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly. You can double-click the 'Check' button to make it float at the bottom of your screen.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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