Data mining; Write the equations and compute the cosine similarity, Jaccard coefficient (if possible, for binary vectors), Euclidean distance, correlation coefficient for the following vectors, x, y:

a. x = (0, -1, 1, 2, -2), y = (0, -2, 2, 4, -4)

b. x = (0, 1, 0, 0, 0), y = (0, 1, 0, 0, 1)

c. x = (-1, -1, -1, -1, -1), y = (1, 1, 1, 1, 1)

cosine Jaccard Euclidean correlation Equation a b