\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the point \(A(3, 0, -1)\) and the plane \(\mathscr{P}\) with the Cartesian equation:$$ -2x + y + 3z + 7 = 0 $$Let \(H\) be the orthogonal projection of point \(A\) onto the plane \(\mathscr{P}\). Determine a parametric representation of the line \((AH)\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.