Question

in the triangular prism shown below, which lines are skew? select all that apply.

Explanation:

Step1: Recall skew - lines definition

Skew lines are non - parallel and non - intersecting lines in 3 - D space.

Step2: Analyze $\overrightarrow{JL}$ and $\overrightarrow{KN}$

$\overrightarrow{JL}$ and $\overrightarrow{KN}$ are in different planes and do not intersect and are not parallel.

Step3: Analyze $\overrightarrow{JM}$ and $\overrightarrow{KL}$

$\overrightarrow{JM}$ and $\overrightarrow{KL}$ are in different planes and do not intersect and are not parallel.

Step4: Analyze $\overrightarrow{JL}$ and $\overrightarrow{MN}$

$\overrightarrow{JL}$ and $\overrightarrow{MN}$ are in different planes and do not intersect and are not parallel.

Step5: Analyze $\overrightarrow{KN}$ and $\overrightarrow{MO}$

$\overrightarrow{KN}$ and $\overrightarrow{MO}$ are in different planes and do not intersect and are not parallel.

Answer:

$\overrightarrow{JL}$ and $\overrightarrow{KN}$, $\overrightarrow{JM}$ and $\overrightarrow{KL}$, $\overrightarrow{JL}$ and $\overrightarrow{MN}$, $\overrightarrow{KN}$ and $\overrightarrow{MO}$