Question

in the triangular prism shown below, which lines are skew?

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• For $\overrightarrow{QT}$ and $\overrightarrow{SU}$: They are parallel.
• For $\overrightarrow{PQ}$ and $\overrightarrow{ST}$: They are non - parallel and non - intersecting. They are in different planes and do not meet.
• For $\overrightarrow{QR}$ and $\overrightarrow{RU}$: They intersect at point $R$.
• For $\overrightarrow{PR}$ and $\overrightarrow{PS}$: They intersect at point $P$.

Answer:

$\overrightarrow{PQ}$ and $\overrightarrow{ST}$