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-   -   Finding the magnitude of vectors (https://www.askmehelpdesk.com/showthread.php?t=62722)

  • Feb 13, 2007, 09:04 PM
    aggiesrul1
    Finding the magnitude of vectors
    :confused: does anyone know how to find the magnitude of a vector because I can add and subtract them and all that stuff but I can not find the magnitude and the heading... so if someone could help me that would be nice!:confused:
  • Feb 13, 2007, 11:19 PM
    Capuchin
    As Pythagoras' theorem shows: the magnitude of a vector V is


    For the heading you need to use basic trigonometry, form a triangle and use the lengths you know to work out the angle you need.
  • Feb 15, 2007, 06:28 PM
    asterisk_man
    Capuchin's answer is correct but I thought you might like to have it spelled out a bit more.
    Lets assume you have a vector V which starts at and ends at
    means "magnitude of V"


    The direction can be found like capuchin said, with trig.

    Here's the vector V starting at (x1,y1) and ending at (x2,y2).
    Code:

              (x2,y2)
              /|
              / |
            V/  |dy
            /  |
          /----|
    (x1,y1)  dx



    Now you want the angle of the vector V. I found this image that will explain what to do. Replace the x and y with the dx and dy you found above. is the angle of V.

    http://upload.wikimedia.org/math/5/3...c0153a4044.png



    As an aside, Capuchin, |V| is the magnitude of V, do you recall what symbol is used for the angle of V? I feel like there is something but I can only recall how to denote the unit vector.
  • Feb 16, 2007, 12:30 AM
    Capuchin
    I don't believe there is one, you just use I, j and k, the direction information is there :/

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