--- title: Introduction to Vectors --- # Introduction to Vectors. A vector is a physical quantity that can be measured (has magnitude in units) and also operates in a particular direction, unlike a scalar which can only be measured. Examples of vectors include velocity, acceleration, force and momentum. A vector can be represented by a line drawn, such that: - the length of the line represents the magnitude of the vetor in a given unit; - the direction of the line represents the direction in which the vector operates (or acts). ![vector-representation](https://github.com/xeroxism/myImages/blob/master/FCC_guides/vector-representation.png?raw=true) In the figure above, the displacement of A to B is written as AB (ā or a). point A is the origin or initial point and the point B is the head or terminal point. This displacement is equivalent to moving a distance x horizontally followed by y vertically. ### The Modulus of a vector The modulus of a vector is a positive scalar number that gives magnitude of the vector. It is written like this:
|AB| or |a| or simply AB or a.Where;
|AB| = √(x2 + y2)
### More Information:
1. [Euclidean vector](https://en.wikipedia.org/wiki/Euclidean_vector).
2. [Vector and Vector Arithmetic](http://spiff.rit.edu/classes/phys311.old/lectures/vector/vector.html).