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3-D Vectors

  1. Sep 21, 2007 #1
    1. The problem statement, all variables and given/known data

    I am having a tough time finding the resultant vector of the the following three dimensional vector:

    d1x=2.33 cm, d1y= 3.84 cm, d1z= -1.2cm
    d2x=3.41 cm, d2y= -1.01 cm, d2z = -3.29 cm
    d3x= -1.04 cm, d3y= 1.93 cm, d3z = 0 cm

    Find the resultant vector magnitude.
    2. Relevant equations



    3. The attempt at a solution

    I have added the vector components and got the following:
    rx= 4.7, ry= 4.76, rz= -4.49

    Not sure where to go next.
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
    Last edited: Sep 21, 2007
  2. jcsd
  3. Sep 21, 2007 #2

    CompuChip

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    So you have calculated the sum of the three vectors (the resultant vector). Now how do you get its magnitude?
     
  4. Sep 21, 2007 #3
    I know using the pythagorean theorem will get the resultant for xy plane vectors...not sure how to get the third plane calculations.
     
  5. Sep 21, 2007 #4

    learningphysics

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    You'd apply pythagorean a second time, using the z-vector and the xy plane vector... draw a picture if you are unsure...

    so the magnitude of the resultant is just [tex]\sqrt{r_x^2 +r_y^2 + r_z^2}[/tex]
     
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