- #1
Shaybay92
- 124
- 0
How would you prove that if the curvature of a 'curve' in R3 is zero that the line is straight? All I have learned about is the Serret Frenet equations which I thought only apply when the curvature is non-zero? How do you define normals/binormals in this case?
I'm not sure if this is enough... but:
dT/ds = kN = 0 because k=0
this implies that T is constant at all points ,which implies a straight line?
I'm not sure if this is enough... but:
dT/ds = kN = 0 because k=0
this implies that T is constant at all points ,which implies a straight line?