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Vectors

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

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Vectors

Vectors can be expressed in terms of other vectors that are equivalent. Here are some examples from the diagram above: \(c=a+b\)  and   \(a=c-b\)  and   \(b=-a+c\)

1

Which vector is equivalent to

\(f+d\) ?

2

Which vector is equivalent to

\(m+l\) ?

3

Which vector is equivalent to

\(n+k\) ?

4

Which vector is equivalent to

\(e-d\) ?

5

Which vector is equivalent to

\(n-l\) ?

6

Which vector is equivalent to

\(j-k\) ?

7

Express the vector \(e\) using
two other vectors.

8

Express the vector \(g\) using
two other vectors.

9

Express the vector \(h\) using
two other vectors.

10

Express the vector \(j\) using
two other vectors.

11

Express the vector \(d\) using
two other vectors.

12

Express the vector \(k\) using
three other vectors.

Check

This is Vectors level 3. You can also try:
Vector Connectors Level 1 Level 2 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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Description of Levels

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Vector Connectors - A basic set of exercises on vectors which could be done before attempting the following.

Level 1 - Addition and subtraction of vectors

Level 2 - Multiplication of vectors by a scalar.

Level 3 - Equivalent vectors as seen in a diagram

Level 4 - The Tangram containing vactors

Level 5 - An irregular hexagon defined by vectors

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

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Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

Example

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.

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