Question

in the rectangular prism shown below, which lines are skew? select all that apply.

Explanation:

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

• $\overrightarrow{PQ}$ and $\overrightarrow{RU}$: They are in different planes and are non - parallel and non - intersecting.
• $\overrightarrow{PT}$ and $\overrightarrow{RS}$: These lines are in the same plane (a face of the prism), so they are not skew.
• $\overrightarrow{RU}$ and $\overrightarrow{ST}$: They are in different planes and are non - parallel and non - intersecting.
• $\overrightarrow{RU}$ and $\overrightarrow{TU}$: These lines intersect at point $U$, so they are not skew.

Answer:

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