1. **Problem Statement:** Draw and label a vector $\overrightarrow{CD}$ intersecting a line segment $\overline{AB}$, with plane P containing $\overline{AB}$ but not $\overrightarrow{CD}$. 2. **Understanding the elements:** - $\overrightarrow{CD}$ is a vector starting at point C and passing through D, extending infinitely beyond D. - $\overline{AB}$ is a line segment between points A and B. - Plane P contains $\overline{AB}$ but does not contain $\overrightarrow{CD}$, meaning $\overrightarrow{CD}$ is not lying in plane P but intersects $\overline{AB}$ at some point. 3. **Key concepts:** - A vector intersecting a line segment means they share exactly one point. - Plane P contains $\overline{AB}$, so $\overline{AB}$ lies entirely in plane P. - Since $\overrightarrow{CD}$ is not in plane P, it must intersect $\overline{AB}$ at a point on $\overline{AB}$ but extend outside the plane. 4. **Visualizing the scenario:** - Imagine plane P as a flat surface containing points A and B connected by $\overline{AB}$. - Vector $\overrightarrow{CD}$ passes through the plane at some point on $\overline{AB}$ but extends out of the plane. 5. **Summary:** - $\overrightarrow{CD}$ intersects $\overline{AB}$ at a point in plane P. - Plane P contains $\overline{AB}$ but not $\overrightarrow{CD}$. **Final answer:** The vector $\overrightarrow{CD}$ intersects the line segment $\overline{AB}$ at a point in plane P, with $\overrightarrow{CD}$ extending outside plane P.