Given the binary vectors:

$$ x$=0101010001110$

$$ y$=0000011001011$

a$)$ Compute the Hamming distance, Jaccard similarity, Cosine similarity, and Simple

Matching Coefficient $($SMC$)$ between these vectors. $(4$ points$)$

b$)$ Explain which approach, Jaccard similarity or Hamming distance, is more similar

to the Simple Matching Coefficient and which is more similar to the Cosine

similarity. Provide a clear explanation for your reasoning. $(2$ points$)$

c$)$ Identify which of the following are distance functions and which are similarity

measures: Hamming Distance, Jaccard Similarity, Simple Matching Coefficient

$($SMC$),$ and Cosine Similarity. $(2$ points$)$