For our geometrical analysis, we first define a term 'alignment to mean' (ATM) of a vector v belonging to a set of vectors V, as the cosine similarity 1 between v and the mean of all vectors in V. We also define 'conicity' of a set V as the mean ATM of all vectors in V.  By this definition, a high value of Conicity(V) would imply that the vectors in V lie in a narrow cone centered at origin.
the vectors in the set V are highly aligned with each other.