Question

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

Explanation:

Step1: Recall definitions

• Non - coplanar: Lines that do not lie on the same plane. But skew lines are a special case of non - coplanar lines.
• Parallel: Lines that lie on the same plane and do not intersect.
• Perpendicular: Lines that intersect at a right angle (90 degrees).
• Skew: Non - parallel, non - intersecting, and non - coplanar lines.

Step2: Analyze lines \(a\) and \(d\)

• Line \(a\) is on plane \(N\) and line \(d\) is on plane \(M\).
• They are not parallel (their directions are different).
• They do not intersect (as they are on different planes).
• They are non - coplanar (since they are on different planes \(N\) and \(M\)). So, they are skew.

Answer:

skew.