Question

planes m and n intersect at line d. line a forms a right angle with line d. line b is diagonal and crosses line d. line c is on plane n and is diagonal. line e is on plane m and is slightly diagonal at the top of the plane. which are skew lines? check all that apply. a and b c and b b and e e and c a and e a and c

Explanation:

Step1: Recall definition of skew lines

Skew lines are non - parallel and non - intersecting lines in 3 - D space.

Step2: Analyze each pair

• For a and c: They are in different planes and do not intersect and are not parallel, so they are skew.
• For a and e: They are in different planes and do not intersect and are not parallel, so they are skew.
• For e and c: They are in the same plane (plane N), so they are not skew.
• For b and e: They intersect at a point on line d, so they are not skew.
• For c and b: They are in different planes and do not intersect and are not parallel, so they are skew.
• For a and b: They intersect at the intersection of planes M and N (line d), so they are not skew.

Answer:

a and c, a and e, c and b