Question

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

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• For $\overrightarrow{RU}$ and $\overrightarrow{ST}$: They are in different planes and do not intersect and are not parallel.
• For $\overrightarrow{RS}$ and $\overrightarrow{RT}$: They intersect at point $R$, so they are not skew.
• For $\overrightarrow{RS}$ and $\overrightarrow{UV}$: They are parallel, so they are not skew.
• For $\overrightarrow{RU}$ and $\overrightarrow{TW}$: They are in different planes, do not intersect and are not parallel.

Answer:

$\overrightarrow{RU}$ and $\overrightarrow{ST}$, $\overrightarrow{RU}$ and $\overrightarrow{TW}$