Final answer:
The nucleus directs the plant cell's activities, including reproduction. Flowers are the specialized reproductive structures in plants, and plant hormones like auxins regulate growth and reproduction processes.
Step-by-step explanation:
The part of the plant cell that directs the cell's activities, including reproduction, is the nucleus. The nucleus contains the plant's genetic material and controls cell growth, cell metabolism, and reproduction by orchestrating the expression of genes. The process of reproduction in plants is complex and involves both asexual and sexual mechanisms. Asexual reproduction takes place through cell division, wherein a single cell divides to form two daughter cells. In sexual reproduction, flowering plants produce flowers, which contain reproductive structures. Flowers are the transformed branches and are determinate structures that produce a flower or flowers and subsequently fruits, after which the plant may die, as seen in wheat. Plant hormones like auxins play a crucial role in regulating plant growth and reproduction, influencing various processes such as cell elongation, apical dominance, fruit development, and leaf abscission.