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

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

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

Answer

Explanation:

Step1: Recall skew - line definition

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

Step2: Analyze each option

$\overrightarrow{RT}$ and $\overrightarrow{SJ}$: They are non - parallel and do not intersect, so they are skew.
$\overrightarrow{RS}$ and $\overrightarrow{RT}$: They intersect at point $R$, so they are not skew.
$\overrightarrow{RT}$ and $\overrightarrow{ST}$: They intersect at point $T$, so they are not skew.
$\overrightarrow{RS}$ and $\overrightarrow{ST}$: They are non - parallel and do not intersect, so they are skew.

Answer:

$\overrightarrow{RT}$ and $\overrightarrow{SJ}$, $\overrightarrow{RS}$ and $\overrightarrow{ST}$