\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Show that the line \(d\) passing through \(E(1, 1, 1)\) with direction vector \(\Vect{w}(1, 2, -1)\) is parallel to the plane \(\mathscr{P}\) defined by the direction vectors \(\Vect{u}(1, 0, 1)\) and \(\Vect{v}(0, 1, -1)\).
Capture an image of your work. AI teacher feedback takes approximately 10 seconds.