Question

in the triangular pyramid 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 $\overrightarrow{GI}$ and $\overrightarrow{HJ}$

$\overrightarrow{GI}$ and $\overrightarrow{HJ}$ are not in the same plane, not parallel and do not intersect, so they are skew.

Step3: Analyze $\overrightarrow{GJ}$ and $\overrightarrow{HJ}$

$\overrightarrow{GJ}$ and $\overrightarrow{HJ}$ share the common point $J$, so they are not skew (they intersect).

Answer:

$\overrightarrow{GI}$ and $\overrightarrow{HJ}$