Answer :
For any two skew lines, there is exactly one line perpendicular to both of them. the correct answer is A) Exactly one
Since [tex]\( l_1 \) and \( l_2 \)[/tex] are skew lines (i.e., they do not intersect and are not parallel), they lie in different planes and are never parallel.
For any two skew lines, there is exactly one line perpendicular to both of them.
This line is called the shortest distance line between the skew lines.
Therefore, the correct answer is:
A) Exactly one
No matter how the skew lines are oriented in space, there exists only one line that is perpendicular to both of them.
This line is unique and serves as the shortest distance line between the two skew lines.
Other lines drawn between [tex]\( l_1 \) and \( l_2 \)[/tex] will not be perpendicular to both lines, except for this unique line.
