Part 1/6:
Understanding Orthogonal Trajectories in Mathematics
Orthogonal trajectories are an essential concept in mathematics, especially in the fields of engineering and physics. This article will explore the definition, implications, and methods for determining orthogonal trajectories, emphasizing their significance across various applications.
Defining Orthogonal
The term orthogonal refers to the concept of perpendicularity; in geometrical terms, it indicates when two curves meet at right angles. Specifically, two curves are termed orthogonal when they intersect at right angles at every point of intersection. This concept can be visualized clearly by considering the angle formed when two intersecting lines or curves meet.