\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The plane \(\mathscr{P}\) passes through \(A(0, -2, 1)\) and has a normal vector \(\Vect{n}\begin{pmatrix} 1 \\ 4 \\ -2 \end{pmatrix}\).
Determine if the point \(M(2, -1, 4)\) belongs to the plane \(\mathscr{P}\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.