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Math Help - Sailing problem

  1. #1
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    Dec 2009
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    Sailing problem

    A real world problem.
    A sailing boat experiences rotations in all 3 axis when sailing (heel, yaw, pitch). In this state, what is the angle of attack of the keel?

    In mathematical terms:
    Express the angle (in the XY plane) between the X axis an a surface as a function of the surface's angle to XY, XZ and YZ planes.

    Many thanks!
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  2. #2
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    Joined
    Dec 2009
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    Clarification

    It looks like I need to clarify myself.

    Take a planar surface surface in the XZ plane.
    Rotate it about the X axis by "a" degrees.
    Rotate it about the Z axis by "b" degrees.
    Rotate it about the Y axis by "c" degrees.

    Now, project the X axis on the surface along the XY plane.

    What is the angle between the X axis and the projected line?
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