Final answer:
Nodes have no water displacement, so there's minimal vertical water movement under nodal lines. Antinodes have maximum displacement with significant vertical water movement, and horizontal movement maximized at nodes but reduced near antinodes.
Step-by-step explanation:
The differences in vertical and horizontal water movement under nodal and antinodal lines in a standing wave (SW) within a basin can be understood by knowing that nodes are regions where interference results in no motion, and antinodes are regions where motion is at its maximum.
Under a nodal line, water particles do not move up and down; there's minimal vertical displacement, leading to limited vertical water movement. However, horizontal movement could still occur if the wave propagates along the basin. Contrastingly, under an antinodal line, vertical movement of water particles is maximized, oscillating up and down around the antinodal point, whereas horizontal movement is at its peak at the nodes but diminishes near the antinodes.
This concept is crucial in areas such as engineering where understanding wave behavior is needed to predict water movements and impacts on structures or natural formations.