A regular tetrahedron is a pyramid with four faces, each of which is an equilateral triangle. Let \(ABCD\) be a regular tetrahedron and let \(P\) be the unique point equidistant from points \(A,B,C,D\). Extend \(\overrightarrow{AP}\) to hit face \(BCD\) at point \(Q\). What is the ratio \(PQ/AQ\) ?
