1. Suppose that a list contains the values 20 44 48 55 62 66 74 88 93 99 at index positions 0 through 9. Trace the values of the variables….

## Write a computer program to evaluate the cosine similarity between a pair of vectors.

1. Compute the cosine similarity between the vector pair (1, 2, 3, 4, 0, 1, 0) and (4, 3, 2, 1, 1, 0, 0). Repeat the same computation with the Jaccard coefficient.

2. Normalize each of the vectors in Exercise 5 to unit norm. Compute the Euclidean distance between the pair of normalized vectors. What is the relationship between this Euclidean distance and the cosine similarity computed in Exercise 5?

3. Repeat Exercise 5 with the boolean representations of the two documents.

4. Write a computer program to evaluate the cosine similarity between a pair of vectors.