- #1
issisoccer10
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Homework Statement
This question comes from my multivariable differential calculus course, and it pertains to arc length parametrizations the unit normal vector of a curve.
Why does the arc length parametrization of the unit normal vector of a curve, N(s) equal...
_r''(s)__ = N(s) and not just equivalent to r''(s) = N(s)?
||r''(s)||
Homework Equations
T(s) = r'(s)
||r'(s)|| = 1
The Attempt at a Solution
I thought that since ||r'(s)|| = 1, ||r''(s)|| would be equivalent to 1 as well since they are both the normalizations of arc length parametrizations of curves. However, this apparently isn't the case...any help would be appreciated
thanks