Question

Adding vectors

|\vec{\textbf{A}}| = |\vec{\textbf{B}}| = |\vec{\textbf{C}}|∣A∣=∣B∣=∣C∣. Further, \vec{\textbf{A}} + \vec{\textbf{B}} + \vec{\textbf{C}} = 0A+B+C=0. What is the angle between \vec{\textbf{A}}A and \vec{\textbf{B}}B ?

Express your answer in degrees, but do not include units. Example: for 30 degrees, write "30".

Important hint: draw one or two diagrams, with arrowheads on the vectors, and think carefully about what the angle between two vectors means. We also suggest (seriously) that you try acting it out: what path do you make if you change your velocity by say 30°? By 180°? To walk around a triangle and then to end up going in the original direction, what is the sum of the changes in direction you had to make? (If you get the wrong answer, come back and read these hints again.)


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Answer 1

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