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in the cube shown below, which lines are intersecting? pt and uv, tu an…

Question

in the cube shown below, which lines are intersecting? pt and uv, tu and op, or and rv, qr and tu

Explanation:

Step1: Recall intersecting lines definition

Intersecting lines share a common point.

Step2: Analyze each option

  • For $\overrightarrow{PT}$ and $\overrightarrow{UV}$, they are skew - no common point.
  • For $\overrightarrow{TU}$ and $\overrightarrow{OP}$, they are skew - no common point.
  • For $\overrightarrow{OR}$ and $\overrightarrow{RV}$, they meet at point $R$.
  • For $\overrightarrow{QR}$ and $\overrightarrow{TU}$, they are skew - no common point.

Answer:

$\overrightarrow{OR}$ and $\overrightarrow{RV}$