In the previous section we saw how to add two vectors and how to multiply a vector by a scalar, but we did not consider how to multiply two vectors. There are two different ways in which we can multiply two vectors, known as the dot product (or scalar product) and the vector product. They are given these names because the result of the first is a scalar and the result of the second is a vector. (We shall not consider vector products in this course.)

In the audio sec
Author(s): The Open University

Earlier, we found the equation of a line in the (x, y)-plane in the form axÂ +Â byÂ =Â c, for some real numbers a, b and c, where a and b are not both zero. We now find an equivalent equation for a line in terms of vectors.

Let P and Q be two given points with position vectors p and q, and denote by â„“ the line that passes through P and Q. How can we find the position vector
Author(s): The Open University

Precedent is the basis of the common law. The doctrine of binding precedent is known as the doctrine of stare decisis, which is Latin meaning â€˜to stand by/adhere to decided casesâ€™, i.e. to follow precedent. In other words, once a principle is decided it should be followed in future cases. The doctrine refers to the fact that, within the hierarchical structure of the English courts, the decision of a higher court will be binding on a lower court. In general terms, this means that wh
Author(s): The Open University

When Ringling Bros. Retires Its Elephants, This is Where They Live
Amid scrutiny for the handling of their performing elephants, Ringling Bros. and Barnum & Bailey Circus announced in March of this year that they will be removing elephants from their shows by 2018. The retired elephants will be brought to the Ringling Bros. Center for Elephant Conservation in Polk City, Florida. To help ensure the conservation of the Asian elephant, the animals will continue to be bred and studied at the center, with assisted reproduction and research into the diseases that
Author(s): No creator set

The Influence of Western Painting and Genre Painting on the Films of John Ford
William Howze
This dissertation demonstrates John Fordâ€™s use of images from a wide range of sources in many of his films. In particular, it examines Fordâ€™s use of images based on the conventions of American [â€¦]

Author(s): No creator set

Sloan Fellows Community
Description not set
Author(s): No creator set

A major point about diagrams is that some people naturally relate well to them and use them frequently, while others tend to prefer textual material. The former are sometimes referred to as visualisers and the latter as verbalisers. There is nothing wrong with either of these tendencies, but in subjects like systems thinking, social science or technology, where text and diagrams support each other, it is important to be comfortable with both. In addition, it is helpful to rememb
Author(s): The Open University

The Electromagnetic Spectrum
Video discusses the electromagnetic spectrum.Â  It starts with the various wave lengths and where visible light is found.Â  Visible light is represented by only 1 inch on an electromagnetic scale of over 2,000 miles.

Author(s): No creator set

On today's show, Jeremy is joined by Klaas Langhout from the Azure team to discuss the pros and cons of delivering Office desktop experiences via RemoteApp. They balance the user experiences of native apps versus remote desktop architectures. Then Klaas demonstrates how quickly an Azure RemoteApp environment running Office can be set up.

Stay up to date with the latest shows at office.com/mechanics

â€ƒ

## Study another free course

There are more thanÂ 800 coursesÂ on OpenLearnÂ for you to c
Author(s): The Open University

Manchester's dynamic business environment, particularly that of the new cotton industry, presented many opportunities for enterprise, even to those with modest capital. By 1790 Owen had joined John Jones, probably another Welshman, making spinning machinery. The next logical move was into cotton spinning itself, and very quickly Owen had established a reputation as a manufacturer of fine yarn, selling as far afield as London and Scotland. When in 1792 one of the town's leading merchant capita
Author(s): The Open University

CAAD: Education - Research and Practice [Conference Proceedings]
In the announcement of the sixth eCAADe Conference we stated that It is held at a time where CAAD is moving into practice very fast, with heavy influence on research and education. We stated that research is directed towards the early design phases, and that education is facing the problem of mass education. In that situation much benefit can be obtained from collaboration with practice. We decided to give the conference the title ?CAAD: Education - Research and Practice? to state the importanc
Author(s): Agger, Kristian and Lentz, Uffe (Eds.)

LoM p. 239 describes the life and habits of the ring-tailed lemur, drawing attention to what are commonly called their 'stink-fights' - a further example of the importance of smell in lemur society. But here the habit is prevalent in a species that is active by day and can spend as much as 40 per cent of its waking time on the ground. In fact, these animals seem equally at home on the ground and in the trees. Over time, some populations in Madagascar have become more ground-based than others,
Author(s): The Open University

Problem ownership is a tricky issue. It's also an issue that good leaders get right instinctively, and poor leaders get wrong consistently. The point is that there are two distinct classes of problems faced by leaders. The first consists of problems which are owned by the group members. Examples include when some additional resources are required, when instructions are not understood or when members complain that something is wrong. Under these conditions the leader's function is to provide p
Author(s): The Open University

We have focused on crime in one society, in one period â€“ the late twentieth-century UK. But crime is also becoming increasingly globalised. This is not simply to say that crime occurs throughout the world, which it certainly does. It is to highlight ways through which crime is becoming organised across borders.

One example would be cross-border criminal gangs. The American-Italian Mafia is now in global competition with Eastern European and Russian Mafias who are in turn up against Ch
Author(s): The Open University

Computer analysis of visual perception - endoscopy without endoscope
This paper presents a method of using computer animation techniques in order to solve problems of visual pollution of city environment. It is our observation that human-inducted degradation of city environmental results from well - intentioned but inappropriate preservation actions by uninformed designers and local administration. Very often, a local municipality administration permits to build bad-fitting surroundings houses. It is usually connected with lack of visual information's about housi
Author(s): Asanowicz, K. and Bartnicka, M.

Unlike the Caledonian Orogenic Belt, outcrops of the Variscan Orogenic Belt are limited to the south-west of England, southern Wales and the south of Ireland (see Figure 9 and Author(s): The Open University

Intro to Humanism: Part 1
Part 1: Defining Humanism, Part 1 of a 6 part series.
Author(s): No creator set

Many theories about leadership tend to focus on the question 'What is it that makes one leader more effective than another?' The hope is that by observing carefully enough how successful leaders operate, it will be possible to arrive at a theory which will either enable others to be more effective leaders, or at least enable organisations to select better leaders. These theories of leadership fall into three broad categories: trait theories, style theories and contingency theories. I'll exami
Author(s): The Open University

Vanderbilt launches test balloon in preparation for total solar eclipse research
Vanderbilt University is part of a national NASA project to give scientists a view of the eclipse from the edge of space. The high altitude balloon, launched by Vanderbilt, will carry a 12 pound payload or scientific instruments for research and a camera for live streaming. Follow Vanderbilt on Twitter: https://twitter.com/vanderbiltu, on Instagram: http://instagram.com/vanderbiltu andkeep reading »
Author(s): Vanderbilt News and Communications