IF VELOCITY VECTOR IS V is given and position vector r is given then what is the way to find out angular velocity vector ω ? please give me example also

in the vector form ,

   v = w x r

if the body does  planar circulatory motion about an axis , then its w willbe

  w = v/r   , if the rotation is anti clockwise then w vector will be up the plane , otherwise  below the plane

if the situation is diff. & velocity vector is not perpendicular to the position vector , then w will be defined with the help of component of velocity perpendicular to the r

w = v cosx /r

& if the sense of rotation is anti clockwise then w vector will be up the plane , otherwise  below the plane