Question

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

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

• For $\overleftrightarrow{QT}$ and $\overleftrightarrow{MP}$: $\overleftrightarrow{QT}$ and $\overleftrightarrow{MP}$ are parallel.
• For $\overleftrightarrow{QT}$ and $\overleftrightarrow{OP}$: $\overleftrightarrow{QT}$ and $\overleftrightarrow{OP}$ are non - parallel and non - intersecting as they lie in different non - parallel planes.
• For $\overleftrightarrow{QR}$ and $\overleftrightarrow{QT}$: $\overleftrightarrow{QR}$ and $\overleftrightarrow{QT}$ intersect at point $Q$.
• For $\overleftrightarrow{NO}$ and $\overleftrightarrow{OP}$: $\overleftrightarrow{NO}$ and $\overleftrightarrow{OP}$ intersect at point $O$.

Answer:

$\overleftrightarrow{QT}$ and $\overleftrightarrow{OP}$