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Consider the point \(A(-6, 2, -1)\) and the plane \(\mathscr{P}\) with Cartesian equation:$$ -5x + y - z - 6 = 0 $$
Show that the point \(H(-1, 1, 0)\) is the orthogonal projection of \(A\) onto the plane \(\mathscr{P}\).
Determine the distance from point \(A\) to the plane \(\mathscr{P}\).
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