Question

in the triangular prism shown below, which lines are skew? select all that apply. hj and fi, gj and ef, ij and eg, hi and gj

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each pair

• For $\overrightarrow{HJ}$ and $\overrightarrow{FI}$: They are non - parallel and do not intersect as they lie in different non - parallel planes.
• For $\overrightarrow{GJ}$ and $\overrightarrow{EF}$: They are non - parallel and do not intersect as they are in different non - parallel planes.
• For $\overrightarrow{IJ}$ and $\overrightarrow{EG}$: They are non - parallel and do not intersect as they are in different non - parallel planes.
• For $\overrightarrow{HI}$ and $\overrightarrow{GJ}$: They are non - parallel and do not intersect as they are in different non - parallel planes.

Answer:

$\overrightarrow{HJ}$ and $\overrightarrow{FI}$, $\overrightarrow{GJ}$ and $\overrightarrow{EF}$, $\overrightarrow{IJ}$ and $\overrightarrow{EG}$, $\overrightarrow{HI}$ and $\overrightarrow{GJ}$