vector space over finite field

A vector has ... => both magnitude and direction. or finite number of points. or direction. or magnitude...

Summary - Electric charge is a basic property of all matter. Unlike charges attract, like charges repel. Conductor allow flow of electric charges through them while insulators don't. Electric charges have three basic properties (a) Additivity (b) Quantisation (c) Conservation Coulomb's law: the Ele..

> If the scales selected for the representation of three vectors are the same, then, three equal vectors are represented by three arrows of equal lengths, pointing in the same direction. If, however, the scales chosen are different, then, it is possible to represent equal v..

>Similarly, by referring to the figure belo..

It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quantities of different kinds, such as mass and temperature, so also it is meani..

Gravitational Field - The space around a body within which its gravitational force of attraction is experienced, is called its gravitational field..

Conclusion - Unfolding the mysteries of the dark and silent space with no known boundaries has always been a dream of the human race. The desires of man has ultimately been accomplished through the exploration of space using various space launching vehicles, space..

Dot Product of Vectors and the Resolution of a Vector - It was mentioned earlier that, displacement vectors are added to displacement vectors, or velocity vectors are added to velocity vectors. Just as it is meaningless to add scalar quant..

The above figure shows the electric field of a positive point charge. The electric field is directed away from the charge and potential is positive at any finite distance from the charge. If we move away from the charge, i.e., in the direction of the elect..

Dipole in an external field Consider a permanent dipole of dipole moment 'p' in a uniform external field E, which implies that p does not depend E nor it is induced due to E. The force on q is qE and on -q is -qE and net force on dipole is zero. However, the charges ..