Question

in the rectangular prism shown below, which lines are skew? nr and op nr and qr rs and no pt and qt

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

• For $\overleftrightarrow{NR}$ and $\overleftrightarrow{OP}$: $\overleftrightarrow{NR}$ and $\overleftrightarrow{OP}$ are parallel. They lie in parallel planes and do not intersect.
• For $\overleftrightarrow{NR}$ and $\overleftrightarrow{QR}$: $\overleftrightarrow{NR}$ and $\overleftrightarrow{QR}$ intersect at point $R$.
• For $\overleftrightarrow{RS}$ and $\overleftrightarrow{NO}$: $\overleftrightarrow{RS}$ and $\overleftrightarrow{NO}$ are non - parallel and non - intersecting. They are in different non - parallel planes.
• For $\overleftrightarrow{PT}$ and $\overleftrightarrow{QT}$: $\overleftrightarrow{PT}$ and $\overleftrightarrow{QT}$ intersect at point $T$.

Answer:

$\overleftrightarrow{RS}$ and $\overleftrightarrow{NO}$