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In this free course, Modelling displacements and velocities, you will see first how to convert vectors from geometric form, in terms of a magnitude and direction, to component form, and then how conversion in the opposite sense is accomplished. The ability to convert between these different forms of a vector is useful in certain problems involving displacement and velocity, as shown in Section 2, in which you will also work with bearings.
After studying this course, you should be able to:
- convert a vector from geometric form (in terms of magnitude and direction) to component form
- convert a vector from component form to geometric form
- understand the use of bearings to describe direction
- understand the difference between velocity and speed
- find resultant displacements and velocities in geometric form, via the use of components.
- Current section: Introduction
- Learning outcomes
- 1: From geometric to component form, and back
- Keep on learning
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Modelling displacements and velocities
In this course you will see first how to convert vectors from geometric form, in terms of a magnitude and direction, to component form, and then how conversion in the opposite sense is accomplished. The ability to convert between these different forms of a vector is useful in certain problems involving displacement and velocity, as shown in Section 2, in which you will also work with bearings.
This OpenLearn course provides a sample of level 1 study in.
This free course includes adapted extracts from an Open University course which is no longer available to new students. If you found this interesting you could explore more free Mathematics Education courses or view the range of currently available OU Mathematics Education courses.
Copyright & revisions
Originally published: Friday, 29th July 2011
Last updated on: Monday, 22nd February 2016
- Creative-Commons: The Open University is proud to release this free course under a Creative Commons licence. However, any third-party materials featured within it are used with permission and are not ours to give away. These materials are not subject to the Creative Commons licence. See terms and conditions. Full details can be found in the Acknowledgements and our FAQs section.
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