\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(\mathscr{P}\) be a plane with direction vectors \(\Vect{u}\begin{pmatrix} 1 \\ 0 \\ 1 \end{pmatrix}\) and \(\Vect{v}\begin{pmatrix} 1 \\ 1 \\ 0 \end{pmatrix}\).
Find a normal vector \(\Vect{n}\begin{pmatrix} a \\ b \\ c \end{pmatrix}\) to this plane such that \(c=1\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.