- #1
zhuyilun
- 27
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Homework Statement
True or False:
a. if k(t)=o, the curve is a straight line
b. if the magnitude of r(t)=1 for all t then r'(t) is orthogonalo to r(t)
c. different parametrizations of the same curve result in identical tangent vectors at a given point
Homework Equations
The Attempt at a Solution
a. k(t) is the curvature, which means T'(t) is zero, but what does T'(t)= 0 tells me?
b. if the magnitude of r(t)=1, is the r(t) just a circle/sphere? if r(t) is a sphere, is r'(t) orthogonal to r(t)?
c. i think its true, but i don't know why