Question

1. what kind of relationship do $overrightarrow{qr}$ and $overline{qu}$ have in this picture? noncoplanar skew parallel perpendicular

Explanation:

Step1: Analyze line - line relationship

Observe the position of $\overrightarrow{QR}$ and $\overrightarrow{QU}$ in the 3 - D figure.

Step2: Recall definitions

Parallel lines are in the same plane and never intersect. Non - coplanar lines are not in the same plane. Skew lines are non - coplanar and do not intersect. Perpendicular lines intersect at a right - angle.

Step3: Determine the relationship

In the given rectangular prism, $\overrightarrow{QR}$ and $\overrightarrow{QU}$ intersect at point $Q$ and form a right - angle (as indicated by the right - angle symbol at $Q$).

Answer:

perpendicular