Question

consider the diagram lines a and d are non - coplanar parallel perpendicular skew

Explanation:

• Parallel lines: Parallel lines are coplanar and do not intersect. Lines \(a\) and \(d\) are not parallel as they are not in the same plane.
• Perpendicular lines: Perpendicular lines are intersecting lines that form right angles (\(90^{\circ}\)) and are coplanar. Lines \(a\) and \(d\) do not intersect and are not coplanar.
• Skew lines: Skew lines are non - parallel, non - intersecting lines. But the key property here is that non - coplanar is a more general term. Skew lines are non - coplanar.
• Non - coplanar lines: Lines \(a\) and \(d\) do not lie on the same plane. By definition, non - coplanar lines are lines that do not lie on the same two - dimensional surface. Since \(a\) is on one plane (say the plane of the rectangle - like figure) and \(d\) is on another plane (the plane of the parallelogram - like figure), they are non - coplanar.

Answer:

non - coplanar