Bill Potts wrote in USMA 10233:

>Joe Reid wrote:
>> The usual practice is to use the right-hand rule to determine the
>> direction
>> of the vector representing the rotation.  Consider the z-axis to be the
>> axis of rotation and the rotation to be such that the x-axis moves toward
>> the y-axis.  Then if the y-axis is considered to extend behind the x-z
>> plane, the system is right-handed.  If the y-axis is considered to extend
>> in front of the x-z plane, the system is left-handed.
>>
>> I am sorry for this convoluted explanation.  If I had you with me in the
>> same room I could do better.  In short, the direction of the vector
>> representing the axis of rotation is determined by the direction of
>> rotation according to the convention used by the mathematician.
>>
>
>As I've said to others in this thread, Joe, my problem isn't with
>understanding the above. It's something I learned almost 50 years ago.
>
>My problem was with your referring to the axis itself as a vector, when the
>axis is only the directional component of the vector.


Put it another way.  The vector defines the direction of the axis.

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