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Consider the point \(A(-2, 1, 0)\) and the plane \(\mathscr{P}\) with the Cartesian equation:$$ x + 2y - z + 4 = 0 $$Let \(H\) be the orthogonal projection of point \(A\) onto the plane \(\mathscr{P}\). Determine a parametric representation of the line \((AH)\).
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