imagine we rotate a vector centered at the origin with euler angles alpha,beta,gamma.(adsbygoogle = window.adsbygoogle || []).push({});

now the question is, can we do this rotation by the means of defining a vector N(which its lenght is 1).and rotating the vector zeta radians counter clockwise around N?

I think it must be possible and I want to know if N is unique(we have only one N for the given euler angles) and I want to find N and zeta in terms of alpha beta and gamma.

thank you.(complete answers really apreciated!!GOD bless those who give complete anwers!!)

P.S: what I've done to find the answer:I used cartesian coordinates and found the rotatian matrix correspending to a rotation zeta over a given N.>>RA=A'

I found R.A is a column matrix (x,y,z) and A'(x',y',z').and R is a 3x3 matrix which I found in terms of N(nx,ny,nz) and zeta.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Euler angles equivalence with a single rotation

**Physics Forums | Science Articles, Homework Help, Discussion**