Question

in the cube shown below, which lines are skew? st and uv pq and os qr and qu pt and st

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

• For $\overleftrightarrow{ST}$ and $\overleftrightarrow{UV}$: They are parallel.
• For $\overleftrightarrow{PQ}$ and $\overleftrightarrow{OS}$: They are non - parallel and non - intersecting.
• For $\overleftrightarrow{QR}$ and $\overleftrightarrow{QU}$: They intersect at point $Q$.
• For $\overleftrightarrow{PT}$ and $\overleftrightarrow{ST}$: They intersect at point $T$.

Answer:

$\overleftrightarrow{PQ}$ and $\overleftrightarrow{OS}$