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3D Force vector rotation

  1. Jan 9, 2008 #1

    IMK

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    Hello
    How do I manipulate (rotate) one 3D force vector so they are relative (in the same plane) as another 3D force vector please.

    First I have is a static reference vector SF that is the accelerometer stationary at some orientation. Next I rotate the accelerometer around one or more axis and take another set of stationary measurements that are the SI vector.

    What I want to do is to apply some function (rotation?) to the SI vector that will produce a new vector N that it is in alignment and proportional with the SF vector.

    Thus:
    N = SF ? SI
    N = SF
    Where SF is a static vector, SI is the current vector, N is a new vector

    As you will see below I have included some sample accelerometer x,y,z axis data for SF and SI vector where
    ___________
    /x*x+y*y+z*z = Eg

    I have tried a very simple 2D axis subtraction method with only the Y and Z axis and this works well, but I have no idea how to do it for 3D can someone help please.

    NB The accelerometer axis output value is the sine of the force on the axis.


    Many thanks in advance

    IMK

    SF= Xg = 0.020615 Yg = -0.014522 Zg = 0.999183 Eg=0.999502
    SI= Xg = 0.001649 Yg = -0.660823 Zg = 0.748382 Eg=0.998384
     
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