Problem 9. Consider four occupations, which each use different amounts of math, writing, interpersonal, and physical skills. For each skill, 1 means they use that skill all the time, and 0 means they never use it. We can represent these four occupations using vectors: occ1=0.50.30.90.1, occ 2=0.250.750.20.5,occ3 =10.80.50.3, and occ 4=000.81. 1. Find the Euclidean distance between occupation 1 and each of the other three occupations. Using this measure, which occupation is "most similar" to occupation 1 and which one is "most different"? 2. Find the angular distance between occupation 1 and each of the other three occupations. Using this measure, which occupation is "most similar" to occupation 1 and which one is "most different"? (Hint: Angular distance between two vectors is equal to 1 minus the cosine similarity)