Question

in the cube shown below, which lines are skew?

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

• For $\overrightarrow{NR}$ and $\overrightarrow{MQ}$: They are parallel.
• For $\overrightarrow{KN}$ and $\overrightarrow{LM}$: They are parallel.
• For $\overrightarrow{OR}$ and $\overrightarrow{KN}$: They are non - parallel and non - intersecting.
• For $\overrightarrow{KO}$ and $\overrightarrow{MN}$: They intersect.

Answer:

$\overrightarrow{OR}$ and $\overrightarrow{KN}$