Final answer:
Skew lines in mathematics are two lines in three-dimensional space that do not intersect and are not parallel. A real-world example of skew lines could be the edges of two different stairs in a staircase. A proper sketch of skew lines cannot be provided within these constraints.
Step-by-step explanation:
In mathematics, skew lines are two lines in three-dimensional space that do not intersect and are not parallel. Think of them as lines that do not lie in the same plane. To visualize this, consider two lines, one on the ceiling and one on the floor. These lines never meet (do not intersect), and they are not on top of one another (not parallel).
A real-world example of skew lines could be the edges of two different stairs in a staircase. The edges are not parallel and do not intersect.
Unfortunately, a proper sketch to display skew lines cannot be provided here as HTML does not support graphics. However, you can easily find diagrams of skew lines with a quick online search.
Learn more about skew lines