Vector graphics are a form of computer graphics in which visual images are created directly from geometric shapes defined on a Cartesian plane, such as points, lines, curves and polygons. (Wikipedia) I enjoy using Adobe Illustrator to create vector graphics regardless if I am creating a logo from scratch, designing a sign, banner, or layout. I find that vector graphics can be easily scaled to any size making it perfect for extremely large or extremely small details that stay crisp and clean.

Vector data and software continue to be widely used, especially when a high degree of geometric precision is required, and when complex information can be decomposed into simple geometric primitives. Thus, it is the preferred model for domains such as engineering, architecture, surveying, 3D rendering, and typography, but is entirely inappropriate for applications such as photography and remote sensing, where raster is more effective and efficient. Some application domains, such as geographic information systems (GIS) and graphic design, use both vector and raster graphics at times, depending on purpose.