Question

in the cube shown below, which lines are intersecting? select all that apply. q u and t u, n o and n q, s t and n q, n r and o p

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines share a common point.

Step2: Analyze $\overrightarrow{QU}$ and $\overrightarrow{TU}$

They meet at point $U$.

Step3: Analyze $\overrightarrow{NO}$ and $\overrightarrow{NQ}$

They meet at point $N$.

Step4: Analyze $\overrightarrow{ST}$ and $\overrightarrow{NQ}$

In 3 - D space of cube, they don't intersect.

Step5: Analyze $\overrightarrow{NR}$ and $\overrightarrow{OP}$

They don't intersect.

Answer:

A. $\overrightarrow{QU}$ and $\overrightarrow{TU}$, B. $\overrightarrow{NO}$ and $\overrightarrow{NQ}$