1. Consider the following table of word frequencies in a set of documents: Word1 Word2 Word3 Word4 Word5 Document16 20 1 4 10 24 Document2 3 10 7 5 12 Document3 12 6 19 5 | 10 a. (8) Documentl 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? 1. Consider the following table of word frequencies in a set of documents: Word1 Word2 Word3 Word4 Word5 Document16 20 1 4 10 24 Document2 3 10 7 5 12 Document3 12 6 19 5 | 10 a. (8) Documentl 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