relation of orientation & direction
문제 Let a : I>R^{3} be a regular curve parametrized by arc length s. Then k(s) is defined by a''(s). We can know that a'(s) and a''(s) are orthogonal, simply. First, fix a vector a'(s1) where s1 is in I( the domain of a curve 'a'). It can be generated easily by assuming that a(s) is welldefined. So does a''(s2), similarly. I guess that the orientation of a curve 'a' is determined by the ordered basis of R^{3} Then, is the direction of a''(s) clockwise or counterclockwise for a'(s)? Unless, is there no meaning in the orientation of R^{3}? Or, is it meaningless for R^{3 }since there is infinitely many passes?
모르는 부분 relation of orientation & direction
참고문헌 Differential geometry of curves and surfaces (Manfredo P.Do Carmo/Sec15) 덧. matlab에 대한 질문을 위한 게시판이 하나 있었으면 합니다.
