Question

in the triangular pyramid shown below, which lines are skew? sv and tu sv and tv st and su su and sv

Explanation:

Step1: Recall skew - lines definition

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

Step2: Analyze each option

• For $\overrightarrow{SV}$ and $\overrightarrow{TU}$: $\overrightarrow{SV}$ and $\overrightarrow{TU}$ are non - parallel and do not intersect as they lie in different non - overlapping planes.
• For $\overrightarrow{SV}$ and $\overrightarrow{TV}$, they share a common point $V$, so they intersect.
• For $\overrightarrow{ST}$ and $\overrightarrow{SU}$, they share a common point $S$, so they intersect.
• For $\overrightarrow{SU}$ and $\overrightarrow{SV}$, they share a common point $S$, so they intersect.

Answer:

$\overrightarrow{SV}$ and $\overrightarrow{TU}$