Question

in the triangular prism shown below, which lines are skew? or and op no and op rs and nq np and op

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• For $\overrightarrow{OR}$ and $\overrightarrow{OP}$, they intersect at point $O$, so they are not skew.
• For $\overrightarrow{NO}$ and $\overrightarrow{OP}$, they are in the same plane (the base of the prism), so they are not skew.
• For $\overrightarrow{RS}$ and $\overrightarrow{NQ}$, $\overrightarrow{RS}$ is in the top triangular face and $\overrightarrow{NQ}$ is in the side rectangular face. They are non - parallel and do not intersect.
• For $\overrightarrow{NP}$ and $\overrightarrow{OP}$, they intersect at point $P$, so they are not skew.

Answer:

$\overrightarrow{RS}$ and $\overrightarrow{NQ}$