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Setting a vector to another magnitude

  1. Jul 19, 2009 #1
    When you set it, initially I have to do

    length = Sqrt(x*x+y*y*z*z)
    length = newlength/length
    set all the velocities to multiply by length

    I am wondering what is this for?

    length = newlength/length
     
  2. jcsd
  3. Jul 19, 2009 #2

    CompuChip

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    newlength/oldlength is the fraction by which the length has to increase. The length of the new vector will be
    || oldvector * newlength / oldlength || = || oldvector || * newlength / oldlength = oldlength * newlength / oldlenght.

    Alternatively, you can look at it this way: if you have a vector v, first divide it by its length to make a unit vector u (in the same direction but with length 1). Then multiply u by the length you want it to have to get the new vector:
    v' = u * newlength = (v / oldlength) * newlength = v * (newlength / oldlength)
    where oldlength is the length of v (sqrt(x^2 + y^2 + z^2)).
     
  4. Jul 19, 2009 #3
    Well, you're talking about a vector, so I assume direction is important. It would be easier to change leingths of individual cartesian components by the desired amount. In cylindrical and sphercal, you merely change r.
     
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