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Applications of Vector Space Model

What does vector space model mean ?
- It's an algebraic representation of text documents.

Why do we need to represent text documents algebraically ?
 - Typical algebric operations gets simpler to perform and visualize.
 - Information retrival, filtering, indexing, ranking can be made with standard procedures and helps to have standardized measuring metrics around it.

So how is vector space model helping in Information retrval ?

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