Find the angle between u and v Leave your answer in exact fo

Find the angle between u and v. Leave your answer in exact form. Do not rationalize your denominator if warranted. U rightarrow = 7j - 9k, v rightarrow = 3i - 5j - 2k

Solution

Here\' how to go about this problem:

u = 0i+7j-9k
v=3i-5j-2k

Hence, cos(X) = ((0*3)+(7*-5)+ (-9*-2)) / ((sqrt(49+81)*sqrt(9+25+4))
cos(X) = .24
X = cos-1(.24) = 76.05 degrees