In some applications of vectors there is a need to move backwards and forwards between geometric form and component form; we deal here with how to achieve this.

To start with, we recall definitions of cosine and sine. If P is a point on the unit circle, and the line segment OP makes an angle Î¸ measured anticlockwise from the positive x-axis, then cosÂ Î¸ is the x-coordinate of P and sinÂ Î¸ is the y-coordinate of P (
Author(s): The Open University

21H.931 Seminar in Historical Methods (MIT)
This course is designed to introduce students to fundamental issues and debates in the writing of history. It will feature innovative historical accounts written in recent years. The class will consider such questions as the words historians use, their language, sources, methods, organization, framing, and style. How does the choice of each of these affect the historian's work? How does the author choose, analyze, and present evidence? How effective are different methodologies?
Author(s): Wood, Elizabeth A.

Power Functions and Polynomial Functions
OpenStax College, OpenStax College Precalculus
In this section, you will: Identify power functions. Identify end behavior of power functions. Identify polynomial functions. Identify the [â€¦]

Author(s): No creator set

07.10.2012 â€“ Langsam gesprochene Nachrichten
Trainiere dein HÃ¶rverstehen mit den Nachrichten der Deutschen Welle von Sonntag â€“ als Text und als verstÃ¤ndlich gesprochene Audio-Datei. *** Die philippinische Regierung hat einen Friedensvertrag mit der grÃ¶ÃŸten Gruppe der muslimischen AufstÃ¤ndischen angekÃ¼ndigt, der einen Schlussstrich unter einen jahrzehntelangen Konflikt ziehen soll. PrÃ¤sident Benigno Aquino gab die Vereinbarung mit der Organisation "Moro Islamische Befreiungsfront" (MILF) bekannt. Sie beinhaltet die Einrichtung e
Author(s): No creator set

Cycle deÂ confÃ©rences Edgar Morin : GlobalitÃ© et complexitÃ© (2/3)

OrganisÃ© par le CollÃ¨ge d'Ã©tudes mondiales et laÂ Fondation Calouste Gulbenkian.

Author(s): No creator set

Honey, P. and Mumford, A. (1989) 'Trials and Tribulations', The Guardian, 19 December 1989.
Honey, P. and Mumford, A. (1992) The Manual of Learning Styles, 3rd Edition, Peter Honey Publications Limited, Ardingly House, 10 Linden Avenue, Maidenhead, Berkshire, SL6 6HB.

Author(s): The Open University

This section is fairly long, but is best read in one go. If you run out of time, reschedule your study to allow you to start again from here.

Thin layers of material are added to the surface by a variety of means, depending on the material to be deposited, and what is already on the wafer.

The sensor starts off, as so many microsensors do, with a silicon wafer, shown in cross section in Author(s): The Open University

Math Magic - Any 2-Digit Number Multiplied by 11 Without Multiplying
The instructor demonstrates with marker and paper a math trick. He shows how to find the answer for a  two-digit numbers (only works with 2-digit numbers) multiplied by the number eleven without multiplying. Amaze your friends with this math magic.  (01:42)
Author(s): No creator set

12.453 Crosby Lectures in Geology: History of Africa (MIT)
This course is a series of presentations on an advanced topic in the field of geology by the visiting William Otis Crosby lecturer. The Crosby lectureship is awarded to a distinguished international scientist each year to introduce new scientific perspectives to the MIT community. This year's Crosby lecturer is Prof. Kevin Burke. His lecture is about African history. The basic theme is the distinctiveness of the African continent in both the way that it originated 600 million years ago and in th
Author(s): Burke, Kevin

Ms. Latitude and Mr. Longitude
Students often confuse latitude lines and longitude lines.  They can remember that the terms are lines on a map, but can't remember which is which.  This brief video clip shows a trick that Mrs. Matthews students use to help them remember the difference. They create artwork showing Mr. or Ms. Latitude (with an attitude) and Mr. or Ms. Longitude (with everything long). (01:24)
Author(s): No creator set

Discovery - First Time Machine
What does a cup of coffee have to do with the speed of light? Watch this clip taken from the Discovery Channel documentary 'The First Time Machine' (05:31) to find out.
Author(s): No creator set

Why things have got so much worse in Libya

Author(s): The Economist

The Importance of Bees to Almond Growth
This four-minute video is about how bees help almond trees and the fact they need to be trucked in from hundreds of miles away. The shortage of bees is mentioned and that more bees are needed. The video shows how the almond flower works and what the bees do. (04:17)
Author(s): No creator set

Art and architecture
The Louvre was designed to house a great art collection for the people of France. Was there a plan from the outset to build a canon of work where the relationships between artists, their origins, their schools and faiths could be traced across centuries? And how did architect I.M.Pei persuade President Mitterrand to allow a pyramid to be built at the Louvre? The album goes on to explore how architecture can reflect relationships between different traditions. Two great buildings, Palladioâ€™s chu
Author(s): The iTunes U team

1.2 Globalisation is about networks

Globalisation is a term that refers to the flows around the world of species, money, goods, ideas, people, etc., and the networks that are integral to these flows. The word is used to attempt to capture a dizzying mix of recent economic, political and socio-cultural developments. The term can also be applied to ecological globalisation. The global transport of people, goods and services has massively increased. Technological and economic networks have developed to smooth trade and econ
Author(s): The Open University

Advances in nanotechnology
In this podcast, Professor Moriarty discusses nanotechnology, and how it has led to a convergence of the traditional sciences. He talks about the commercial applications of nanotechnology such as hard disk technology in laptops, stain free materials and fabrics, self-cleaning windows and advanced water filtration. He also touches on some of the myths about nanotechnology as well as some of the real dangers of Nanotechnology and the steps governments are taking to regulate it. Professor Moriart
Author(s): Moriarty Philip Professor

Kew in the digital age
Professor Angela McFarlane explores how The Royal Botanic Gardens, Kew, is using digital media to engage new, global audiences in its science and conservation work.
Author(s): No creator set

"Math Snacks" Overruled!
Two besotted rulers must embrace proportional units in order to complete a bridge to unite their lands. It takes mathematical reasoning to deduce the problem, and solution, when engineers from Queentopia and Kingopolis try to build a bridge that meets in the middle of the river.

Overruled! addresses number and operations standards, the algebra standard, and the process standard, as established by the National Council of Teachers of Mathematics (NCTM). It guides students in:

Author(s): No creator set

Discovery Channel - Impossible City - Dubai Part 4 of 6
Takes viewers on a journey to explore the eye-popping and often unprecedented engineering feats that are re-shaping Dubai into a model for visionary urban development in the 21st century. Suitable for middle school and high school students.
Author(s): No creator set