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Using Norm of Vector

  1. Oct 13, 2006 #1
    I don't know if I'm just having a slow day or what is going on but I am being stumped by this:

    If ||v|| = 2 and ||w|| = 3 what are the largest and smallest values possible for ||v - w||. Give a geometric explanation.

    Would it be as simple as just adding the two values for the largest, and subtracting for the smallest?

    Any help would be apreciated.

    -Shane
     
  2. jcsd
  3. Oct 13, 2006 #2
    consider the direction, and it is basically the triangle inequality.
     
  4. Oct 13, 2006 #3

    radou

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    Think about the direction of the two vectors.
     
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