Unformatted text preview: The angle between B A and , is 120 o , since one vector must shift to add head-to-tail. Using the result of part (a), with , B A = the condition is that cos 2 2 2 2 2 A A A A + + = , which solves for 1 = 2 + 2 cos , cos = , 2 1-and = 120 o . c) Either method of derivation will have the angle replaced by 180 o – , so the cosine will change sign, and the result is . cos 2 2 2 AB B A-+ d) Similar to what is done in part (b), when the vector difference has the same magnitude, the angle between the vectors is 60 o . Algebraically, is obtained from 1 = 2 – 2 cos , so cos = 2 1 and = 60 o ....
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- Spring '08