Question

in the cube shown below, which lines are intersecting? (overrightarrow{pq}) and (overrightarrow{lo}), (overrightarrow{ps}) and (overrightarrow{lo}), (overrightarrow{lo}) and (overrightarrow{no}), (overrightarrow{os}) and (overrightarrow{qr})

Explanation:

Step1: Recall intersecting - lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

• For $\overleftrightarrow{PQ}$ and $\overleftrightarrow{LO}$, they are skew - not intersecting.
• For $\overleftrightarrow{PS}$ and $\overleftrightarrow{LO}$, they are skew - not intersecting.
• For $\overleftrightarrow{LO}$ and $\overleftrightarrow{NO}$, they meet at point $O$.
• For $\overleftrightarrow{OS}$ and $\overleftrightarrow{QR}$, they are skew - not intersecting.

Answer:

$\overleftrightarrow{LO}$ and $\overleftrightarrow{NO}$