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38. Frenet Frame and Arclength - Part 1 - Length and the Arclength Parameter
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In this video, we
(1) derive the equation for the length of a curve given by a vector function,
(2) define the arc length parameter, and
(3) write the position function in terms of the arclength parameter and discuss the circumstances when we might be interested in position as a function of distance traveled along the curve, as opposed to the position as a function of time.
(1) derive the equation for the length of a curve given by a vector function,
(2) define the arc length parameter, and
(3) write the position function in terms of the arclength parameter and discuss the circumstances when we might be interested in position as a function of distance traveled along the curve, as opposed to the position as a function of time.