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The first solution is perfect, thanks a lot !
Thanks a lot, it fixes the question neatly !
Hello Serhan and Douglas, Yes my question was ultimately more general : given the (say) 3-components vector example, {f[x,y,z],g[x,y,z],h[x,y,z]}, and the three sets of rules, rulef={x->uf,y->vf,z->wf}, ruleg={x->ug,y->vg,z->wg},...