Question

in the cube shown below, which lines are intersecting?
options: $overrightarrow{jm}$ and $overrightarrow{no}$, $overrightarrow{jm}$ and $overrightarrow{lp}$, $overrightarrow{jk}$ and $overrightarrow{ko}$, $overrightarrow{mq}$ and $overrightarrow{op}$

Explanation:

Step1: Recall intersecting - lines definition

Intersecting lines share a common point.

Step2: Analyze each option

• For $\overrightarrow{JM}$ and $\overrightarrow{NO}$: They are skew - lines, do not intersect.
• For $\overrightarrow{JM}$ and $\overrightarrow{LP}$: They are skew - lines, do not intersect.
• For $\overrightarrow{JK}$ and $\overrightarrow{KO}$: They meet at point $K$, so they are intersecting lines.
• For $\overrightarrow{MQ}$ and $\overrightarrow{OP}$: They are skew - lines, do not intersect.

Answer:

$\overrightarrow{JK}$ and $\overrightarrow{KO}$