Question

in the rectangular prism shown below, which lines are skew? q u and u x, s t and r v, s w and v w, r s and s t

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

• $\overrightarrow{QU}$ and $\overrightarrow{UX}$ intersect at point $U$, so they are not skew.
• $\overrightarrow{ST}$ and $\overrightarrow{RV}$ are non - parallel and do not intersect. They are in different planes and satisfy the definition of skew lines.
• $\overrightarrow{SW}$ and $\overrightarrow{VW}$ intersect at point $W$, so they are not skew.
• $\overrightarrow{RS}$ and $\overrightarrow{ST}$ intersect at point $S$, so they are not skew.

Answer:

$\overrightarrow{ST}$ and $\overrightarrow{RV}$