Using vectors to model

1 Using vectors to model

The main teaching text of this unit is provided in the workbook below. The answers to the exercises that you'll find throughout the workbook are given in the answer book. You can access it by clicking on the link under the workbook.

Click 'View document' to open the workbook (PDF, 1 MB).

Click 'View document' to open the answer book (PDF, 0.4 MB).

Workbook contents

• Introduction

• 1 Describing and representing vectors

  • 1.1 Scalars and vectors

  • 1.2 Vector notation

  • 1.3 Using arrows to represent vectors

  • 1.4 Equality of vectors

  • 1.5 Polar representation of two-dimensional vectors

• 2 Scaling and adding vectos

  • 2.1 Scaling a vector

  • 2.2 Addition of vectors

  • 2.3 Algebraic rules for scaling and adding vectors

• 3 Cartesian components of a vector

  • 3.1 Vectors in two dimensions

  • 3.2 Vectors in three dimensions

• 4 Products of vectors

  • 4.1 The dot product

  • 4.2 The cross product

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