Answer the following

1. Consider the following table of word frequencies in a set of documents: Word1 Word2 Word3 Word4 Words Document! 6 20 14 10 24 Document2 3 12 Document3 12 a. (8) Document and Document2 have the same ratio among frequencies for all the words. (i) What is the cosine similarity between them? (ii) Write the expression for the Cosine similarity between them and fill in the numbers from the table above. (Do not calculate) b. (8) What conditions must be satisfied for a distance function to be a "metric