Question

in the triangular pyramid shown below, which lines are skew? lo and no lo and mn mo and no ln and mn

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• $\overrightarrow{LO}$ and $\overrightarrow{NO}$: They intersect at point $O$, so they are not skew.
• $\overrightarrow{LO}$ and $\overrightarrow{MN}$: They are non - parallel and do not intersect. They are in different planes of the triangular pyramid.
• $\overrightarrow{MO}$ and $\overrightarrow{NO}$: They intersect at point $O$, so they are not skew.
• $\overrightarrow{LN}$ and $\overrightarrow{MN}$: They intersect at point $N$, so they are not skew.

Answer:

$\overrightarrow{LO}$ and $\overrightarrow{MN}$