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Addition of Vectors by means of Components

  1. Jan 28, 2007 #1
    1. The problem statement, all variables and given/known data
    A football player runs the pattern given in the drawing by the three displacement vectors A, B, and C. The magnitudes of these vectors are A = 5 m, B = 14.0 m, and C = 23.0 m. Using the component method, find the magnitude and direction of the resultant vector A + B + C
    http://www.webassign.net/CJ/cj6_1-55.gif" [Broken].

    2. Relevant equations
    Rx = Ax + Bx + Cx
    Ry = Ay + By + Cy

    3. The attempt at a solution
    Components of A
    Ax = 0
    Ay = 5

    Components of B
    Bx = 14.0
    By = 0

    Components of C
    Cx = 18.8
    Cy = -23.0

    Rx = 32.8
    Ry = -18.2

    Took the square root of Rx^2 + Ry^2 and found it out to be the answer of 37.5.

    I put it in but it tells me that it isn't right?
    Last edited by a moderator: May 2, 2017
  2. jcsd
  3. Jan 29, 2007 #2


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    Staff Emeritus
    Science Advisor

    Check your y component of vector C.
  4. Jan 29, 2007 #3
    It worked out okay, thanks a bunch!
  5. Aug 30, 2008 #4
    I have that exact problem now, and I can't come up with the correct answer
  6. Aug 30, 2008 #5


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    Homework Helper

    Welcome to PF!

    Hi pstfleur! Welcome to PF! :smile:

    Show us what you've done, and where you're stuck, and then we'll be able to help! :wink:
  7. Aug 30, 2008 #6
    Nevermind..Figured it out!!
  8. Aug 30, 2008 #7
    Thanks alot thou, I will be sure to use this site through out the semester :)!
  9. Sep 3, 2009 #8
    Can somebody please tell me how to figure out Cx and Cy. I'm completely lost on how to get those values.
  10. Sep 3, 2009 #9
    Make a right triangle with C being the hypotenuse. Use the 35-degree angle in your construction.
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