> Most search engines use something called a vector space model, where both user queries and documents are reduced to vectors (i.e. a fixed number of numbers). That is to say, the search engines are not looking at the meanings of the queries or the documents. Instead, they turned them both into some numbers. The search problem, is reduced to a problem of finding the similarity between the numbers representing the que…
But the catch is that Lucene's default "vector space model" treats each document as a very high-dimensional vector, where the components are the words in the document (scaled using tf-idf). Under this definition, "similarity" reduces to a normalized dot-product of the query vector and the document vector. So in practice, it does roughly what you want: documents that match more query words end up getting more non-zero terms in their similarity score, which leads to a higher ranking.