1. **State the problem:** We have a square pyramid with base vertices G, H, I, J and apex K. We need to determine which pairs of lines among \(\overrightarrow{HI}\) and \(\overrightarrow{JK}\), \(\overrightarrow{GJ}\) and \(\overrightarrow{HK}\), \(\overrightarrow{IK}\) and \(\overrightarrow{GH}\), and \(\overrightarrow{HI}\) and \(\overrightarrow{GK}\) are skew lines. 2. **Recall the definition of skew lines:** Skew lines are lines that are not parallel, do not intersect, and are not in the same plane. 3. **Analyze each pair:** - \(\overrightarrow{HI}\) and \(\overrightarrow{JK}\): Both lie in the base plane (square base), so they are either parallel or intersecting, not skew. - \(\overrightarrow{GJ}\) and \(\overrightarrow{HK}\): \(\overrightarrow{GJ}\) lies in the base plane, \(\overrightarrow{HK}\) connects base vertex H to apex K, so they are not parallel and do not intersect. They are in different planes, so they are skew. - \(\overrightarrow{IK}\) and \(\overrightarrow{GH}\): \(\overrightarrow{GH}\) is in the base plane, \(\overrightarrow{IK}\) connects base vertex I to apex K. They do not intersect and are not parallel, so they are skew. - \(\overrightarrow{HI}\) and \(\overrightarrow{GK}\): \(\overrightarrow{HI}\) is in the base plane, \(\overrightarrow{GK}\) connects base vertex G to apex K. They do not intersect and are not parallel, so they are skew. 4. **Final answer:** The skew pairs are \(\overrightarrow{GJ}\) and \(\overrightarrow{HK}\), \(\overrightarrow{IK}\) and \(\overrightarrow{GH}\), and \(\overrightarrow{HI}\) and \(\overrightarrow{GK}\).