Question

I am confused of T,N,B and which one is perpendicular and parallel

Answer 1

are these the unit tangent, normal, and binormal vectors?

Answer 2

yup

Answer 3

they are mutually perpendicular vectors, just like the x, y and z axes

Answer 4

i stand corrected. only B is perpendicular to T and N

Answer 5

for example- if \[\frac{ dB }{ dt }\] is perpendicular to both T and B the T X B= N and so N is parallel to \[\[\frac{ dB }{ dt }\]\]

Answer 6

i don't get how N is parallel to db/dt

Answer 7

i can't picture it in my mind (visual explanation is appreciated)

Answer 8

@sourwing

Answer 9

if i remember correctly, N is normal and T is the tangent. I forgot what B is though :D

Answer 10

binormal vector

Answer 11

oh ok :D

Answer 12

perhaps this would help
http://en.wikipedia.org/wiki/Frenet%E2%80%93Serret_formulas

Answer 13

Although I've worked with this material before, I've forgotten the details. i do believe that these three vectors are all perpendicular to one another. My first impulse, upon encountering a question like this, would be to dig out my Calculus textbook, which has a good treatment of these 3 vectors. Have you such a textbook?

Answer 14

i don't think, my textbook dont have pretty pic

Answer 15

@sourwing that link really helped thx