Question

in the triangular pyramid shown below, which lines are skew?

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• $\overrightarrow{GI}$ and $\overrightarrow{GJ}$ intersect at point $G$, so they are not skew.
• $\overrightarrow{IJ}$ and $\overrightarrow{GH}$ are non - parallel and do not intersect. They are in different planes of the triangular pyramid.
• $\overrightarrow{HJ}$ and $\overrightarrow{GH}$ intersect at point $H$, so they are not skew.
• $\overrightarrow{GJ}$ and $\overrightarrow{GH}$ intersect at point $G$, so they are not skew.

Answer:

$\overrightarrow{IJ}$ and $\overrightarrow{GH}$