Question

in the triangular prism shown below, which lines are intersecting? ab and ad be and df be and cf ac and ef

Explanation:

Step1: Recall intersecting - lines definition

Intersecting lines meet at a point.

Step2: Analyze each option

• For $\overrightarrow{AB}$ and $\overrightarrow{AD}$, they meet at point $A$.
• $\overrightarrow{BE}$ and $\overrightarrow{DF}$ are skew - not intersecting.
• $\overrightarrow{BE}$ and $\overrightarrow{CF}$ are parallel - not intersecting.
• $\overrightarrow{AC}$ and $\overrightarrow{EF}$ are skew - not intersecting.

Answer:

$\overrightarrow{AB}$ and $\overrightarrow{AD}$