How to compare Euler angles?

Question

Mathematics

Hello.
I know that one object has changed its position in Euler angles let's say x,y,z In
another way I have calculated once again the rotation of this object. And got similar values.
But how would you compare count accuracy in this case. How similar are they.
Moreover, if we assume that x, y, z are absolutely correct values.
Thank you.

Answer 1

Find the direction vector in the first and second cases, compare the coordinates of the ends in the Euclidean metric.

Answer 2

Measurement accuracy is the reciprocal of its relative error.

Let x',y',z' be the calculated values. Then the accuracy ax is calculated according to the following algorithm:
1) d=|x'-x|
2) s=d/x
3) ax =1/s
Total accuracy is defined as
a = min (ax,ay,az)