The following questions arose as a result of an enquiry raised on the list Geometric_Algebra <geometric_algebra@googlegroups.com> --- SO(n) denotes the proper isometries of an (n-1)-sphere, embedded in standard fashion in a Cartesian coordinate basis (x_1,...,x_n); R_i(t) denotes rotation through angle t about axis the coline meet of coordinate hyperplanes x_(i-1), x_i . [ Ambiguity in rotation sense need not concern us just now. ] Question (A) : Does the set G = { R_2, ..., R_n } generate SO(n) (irredundantly)? Question (B) : Given an arbitrary isometry, is its minimum length as a word over G necessarily at most n_C_2 = n(n-1)/2 (sharply)? Question (C) : Is there a practical algorithm expressing an isometry, given in the form (say) of a numerical matrix, as a word over G ? Fred Lunnon