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16. [3/5 Points] DETAILS PREVIOUS ANSWERS LARCALC12 11.3.072. Consider the vectors u = (cos(a), sin(a), 0) and v = (cos(B), sin(B), 0), where a >

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16. [3/5 Points] DETAILS PREVIOUS ANSWERS LARCALC12 11.3.072. Consider the vectors u = (cos(a), sin(a), 0) and v = (cos(B), sin(B), 0), where a > B. Find the dot product of the vectors. u . v = cos (a - B) Use the result to prove the identity cos(a - B) = cos(a) cos(B) + sin(a) sin(B). The angle between u and v is cos( a - B) . Taking the cosine of this angle we have the following. X U . V COS = X U . V = 1 = cos ( a - B)

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