Question

in the rectangular prism shown below, which lines are skew?
ru and uy xy and rv rs and sw rs and vw

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

• For $\overrightarrow{RU}$ and $\overrightarrow{UY}$, they intersect at point $U$, so they are not skew.
• For $\overrightarrow{XY}$ and $\overrightarrow{RV}$, they are non - parallel and do not intersect. They are in different planes and do not share a common point.
• For $\overrightarrow{RS}$ and $\overrightarrow{SW}$, they intersect at point $S$, so they are not skew.
• For $\overrightarrow{RS}$ and $\overrightarrow{VW}$, $\overrightarrow{RS}\parallel\overrightarrow{VW}$, so they are not skew.

Answer:

$\overrightarrow{XY}$ and $\overrightarrow{RV}$