Vector graphics
Vector graphics (also called graphical modeling, or object-oriented graphics) is a type of computer graphics. Vector graphics uses geometrical objects, like points, lines, curves, and polygons to model the image. Mathematics can be used to describe the graphics. Most often vectors and matrices are used. The first major use of vector graphics was in the Semi-Automatic Ground Environment air defense system.
The other way to model computer graphics is to use raster graphics. Raster graphics model images as a collection of pixels. Unlike raster images, vector-based images can be scaled indefinitely without loss of quality. Vector graphics are most often used for diagrams, and other things that can be described using simple shapes. Photographs are most often raster images.
Vector Graphics Media
Example showing comparison of vector graphics and raster graphics upon magnification
A free software Asteroids-like video game played on a vector monitor
This vector-based (SVG format) image of a round four-color swirl displays several unique features of vector graphics versus raster graphics: there is no aliasing along the rounded edge (which would result in digital artifacts in a raster graphic), the color gradients are all smooth, and the user can resize the image infinitely without losing any quality.
Original reference photo before vectorization