SOLUTION: u = −10i − 5j v = −6i + 3j Find the degree measure of the angle 𝜃 between the vectors. (Round your answer to two decimal places.) 𝜃 = ____

SOLUTION: u = −10i − 5j v = −6i + 3j Find the degree measure of the angle 𝜃 between the vectors. (Round your answer to two decimal places.) 𝜃 = _____°

Question 1173622: u = −10i − 5j
v = −6i + 3j
Find the degree measure of the angle 𝜃 between the vectors. (Round your answer to two decimal places.)
𝜃 = _____°
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!



The dot product of two vectors is defined as



u·v = |u||v|cos(θ)





and the dot product also happens to be the sum of products of corresponding components:



u·v =   



So we have all that is needed to solve for θ:





|u| =  =  = 

|v| =  =  = 



and

 =  = 





Putting it all together:



   = 

   = 

   cos(θ) =      



       θ =  = 

 

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