Question

examining lines in three dimensions
are the lines in the diagram perpendicular, parallel, skew, or none of these?
l and m:
l and n:
m and n:
perpendicular
x parallel
skew
none of these

Explanation:

Step1: Analyze l and m

Lines l and m are in the same plane A and intersect at a right - angle. So they are perpendicular.

Step2: Analyze l and n

Lines l and n are not in the same plane and do not intersect. So they are skew.

Step3: Analyze m and n

Lines m and n are in different planes and intersect at a right - angle. So they are perpendicular.

Answer:

l and m: perpendicular
l and n: skew
m and n: perpendicular