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in the cube shown below, which lines are intersecting? bf and de cd and…

Question

in the cube shown below, which lines are intersecting? bf and de cd and de cg and ei hi and de

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines share a common point.

Step2: Analyze each option

  • For $\overrightarrow{BF}$ and $\overrightarrow{DE}$, they are skew - no common point.
  • For $\overrightarrow{CD}$ and $\overrightarrow{DE}$, they share the common point $D$.
  • For $\overrightarrow{CG}$ and $\overrightarrow{EI}$, they are skew - no common point.
  • For $\overrightarrow{HI}$ and $\overrightarrow{DE}$, they are parallel - no common point.

Answer:

$\overrightarrow{CD}$ and $\overrightarrow{DE}$