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Distance between two vectors

  1. Sep 6, 2011 #1
    1. The problem statement, all variables and given/known data

    You are camping with two friends, Joe and Karl. Since all three of you like your privacy, you don't pitch your tents close together. Joe's tent is 24.0 m from yours, in the direction 23.0 degrees north of east. Karl's tent is 43.5 m from yours, in the direction 41.0 degrees south of east.

    What is the distance between Karl's tent and Joe's tent?

    2. Relevant equations

    Karl's tent dk = 32.83{i) -28.54{j}
    Joe's tent dj = 22.09{i}+ 9.38{j}

    3. The attempt at a solution

    Karl's tent dk = 32.83{i) -28.54{j}
    Joe's tent dj = 22.09{i}+ 9.38{j}

    dkj=dkjx{i}+dkjy{j}

    9.38 + dkjy=-28.54
    22.09{i}+dkjx=32.83

    22.09-32.83= -10.74
    9.38+28.54 = 37.92

    (10.74)2+(37.92)2 and then square root = 39.41m.

    Is that right. Thanks!
     
    Last edited: Sep 6, 2011
  2. jcsd
  3. Sep 6, 2011 #2

    lewando

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    Gold Member

    Final answer looks too big. Assuming your location is at the origin, dj looks fine, but shouldn't dk have a negative j component?
     
  4. Sep 6, 2011 #3
    Ok, I changed it to 39.41 meters.
     
    Last edited: Sep 6, 2011
  5. Sep 6, 2011 #4

    lewando

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    Gold Member

    Much better :smile: !
     
  6. Sep 6, 2011 #5
    thanks!
     
    Last edited: Sep 6, 2011
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