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Find 3x3 rotation matrix

  1. Mar 14, 2004 #1
    Hi, if i want to find a 3x3 matrix R which represents a rotation of Pi/6 around the axis of rotation v(vector)={1, 2, 3}. how can i find it?
     
    Last edited: Mar 14, 2004
  2. jcsd
  3. Mar 14, 2004 #2

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    Are you saying that your axis is along a vector that starts at the origin of the coordinate system and has its tip at the point (x,y,z)=(1,2,3)? And is your rotation direction clockwise or counterclockwise as viewed from the perspective of (0,0,0)?
     
  4. Mar 14, 2004 #3
    Thanks. it's a vector from origin to (1, 2, 3). which direction? i am not sure yet. let say clockwise.
     
  5. Mar 15, 2004 #4

    NateTG

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    Start by figuring out what the result of rotating
    [0,0,1]
    [0,1,0]
    and
    [1,0,0]
    are.

    Once you've done that, you shouldn't have any trouble making hte matrix.
     
  6. Mar 15, 2004 #5

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  7. Mar 15, 2004 #6

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