File search engine and computerized method of tagging files with vectors

The main purpose of the software, system and method of this invention is to help produce better searches for people utilizing their context as represented by a vector. The system allows for files (including websites) to be tagged with a vector. If a provider wants a searcher to find that provider's files, the file must be tagged with the vector that is sufficiently close to the searcher's corresponding vectors. A search user inputs not only a text search but also the vectors that have been created to show the context and preferences of that search user.