The discussion centers on demonstrating that a curve maintains a constant angle with the vertical direction, represented by the unit vector k. Participants emphasize the importance of understanding curvature and suggest using the dot product with the k unit vector as a method to establish this relationship. The conversation highlights the need for clarity in the question posed and the relevance of geometric concepts in solving the problem.
PREREQUISITESStudents and educators in mathematics and physics, particularly those focusing on differential geometry and vector analysis.
plexus0208 said:Homework Statement
How do I show that the curve makes a constant angle with the vertical (k) direction?
Homework Equations
The Attempt at a Solution
I know the curvature. What else do I need to know?
have a think about what you could dot product with the k unit vector to show this...plexus0208 said:How do I show that the curve makes a constant angle with the vertical (k) direction?