how to prove Any curve in space can be written as for a parameter
Can you provide more details about your question? What part of mathematics are you studying where this question comes up? And "as for a parameter" is not translating very well. Can you give examples of what you are asking about?
Any curve in space can be written as for a parameter p(t)
Again, the translation is not working so well. What branch of mathematics are you studying? Can you provide a link to similar questions and proofs? What methods of proof are you familiar with?
I think he might be saying, any curve in 3 dimensions can be represented as a system of parametric equations, x(t), y(t), z(t). Which is a non-trivial result - in fact, I don't think that's even true.
you are right
you are better than mentor
At math he definitely is! :D
Any curve in space can be written as p(t)
for a parameter t
its used to prove the gradient is normal to the curve
Can you show an example of finding the gradient for a curve? What kind of curve? Like equipotential lines?
why dont you answer main question
Any curve in space can be written
Because the PF rules require that you show effort. Especially if this is a schoolwork question, which many of the Mentors believe it is. You need to show some effort, and tell us what this question is for, or this thread will be locked.
This is why -- (see Homework Guidelines at https://www.physicsforums.com/threads/physics-forums-global-guidelines.414380/)
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