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Find Jaccard distance {1,2,3,4} & {2,3,5,7} and {a,a,a,b} & {a,a,b,b,c}

ii) Find Hamming Distance between 110011 & 010101 and 11001 & 01011

iii) Compute the cosines of the angles between (3,-1,2) and (-2,3,1).

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(i) Jaccard distance

A = { 1,2,3,4 } and B = {2,3,5,7}

d(A,B) = 1 - J(A,B)

J(A,B) = $\frac{A \cap B}{A \cup B} = \frac{ | \{2,3\} | }{| \{1,2,3,4,5,7\} | } = \frac{2}{6} = \frac{1}{3}$

d(A,B) = $1 - \frac{1}{3} = \frac{2}{3}$

A = {a,a,a,b} and B = …

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