Question

in the cube shown below, which lines are intersecting?
ab and eh cg and gh ae and gh ef and gh

Explanation:

Step1: Recall intersecting - lines definition

Intersecting lines share a common point.

Step2: Analyze each option

• $\overrightarrow{AB}$ and $\overrightarrow{EH}$: No common - point, they are skew.
• $\overrightarrow{CG}$ and $\overrightarrow{GH}$: Share point $G$, so they are intersecting.
• $\overrightarrow{AE}$ and $\overrightarrow{GH}$: No common - point, they are skew.
• $\overrightarrow{EF}$ and $\overrightarrow{GH}$: No common - point, they are parallel.

Answer:

$\overrightarrow{CG}$ and $\overrightarrow{GH}$