Finding an angle between two vectors

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To find the angle between the vectors u=[4 -4 -3] and v=[2 2 -3], the formula used is theta = arccos(u . v)/(|u||v|). The calculated angle was approximately 70.068 degrees, but the online homework system marked it as incorrect. There is a suggestion that the answer may need to be in radians, as many academic settings default to this unless specified. The discussion highlights the common confusion between degrees and radians in vector calculations. Understanding this distinction is crucial for correctly solving similar problems in the future.
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Homework Statement



Find the angle between the vectors u=[4 -4 -3] and v=[2 2 -3].


Homework Equations



theta = arccos(u . v)/(|u||v|)


The Attempt at a Solution



arccos[(8+(-8)+9)/(sqrt(41)*sqrt(17))]= 70.068 degrees. According to the online homework, it is wrong...and I and stumped.
Any help would be appreciated!

Thanks!
 
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Check if their answer isn't perhaps in radians.
 
Well the thing is, it is a webwork assignment, so you can't really check the answer. And the question was not specfic for degrees or radians.:frown: Well, what counts is that I know I did it right. Thanks phyzmatix
 
As a rule of thumb (well, this definitely holds for where I'm studying anyway) angles are ALWAYS in radians, unless specifically stated otherwise. It took me a while to get used to this also as we never did radians in school.
 

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