What Is Orthogonal Trajectory?

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    Orthogonal Trajectory
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SUMMARY

Orthogonal trajectories are defined as a family of curves that intersect a given family of curves at right angles. This mathematical concept is crucial for understanding relationships between different curves in the plane. The discussion emphasizes the importance of grasping this concept for mathematical studies, particularly in calculus and differential equations. For further details, the Wikipedia page on orthogonal trajectories provides additional insights.

PREREQUISITES
  • Basic understanding of calculus
  • Familiarity with differential equations
  • Knowledge of curve families in mathematics
  • Ability to interpret mathematical graphs
NEXT STEPS
  • Study the concept of differential equations in depth
  • Explore the application of orthogonal trajectories in physics
  • Learn about curve families and their properties
  • Review graphical methods for visualizing intersections of curves
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Students in mathematics, particularly those studying calculus and differential equations, as well as educators seeking to explain the concept of orthogonal trajectories effectively.

e4dragon
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I have a test tomorrow and the book does not even explain it that well. Than You
 
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Welcome to PF!

Hi e4dragon! Welcome to PF! :smile:

"In mathematics, orthogonal trajectories are a family of curves in the plane that intersect a given family of curves at right angles."​

For more detail, see http://en.wikipedia.org/wiki/Orthogonal_trajectory

Is there anything particular you don't understand about orthogonal trajectories? :smile:
 
i understand it now, sort of. thank you
 

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