A curve is reparameterized in terms of arc length as . Of the following options, which best describes the relationship between the vectors and , where ?

You may assume and exist and are nonzero for all .

[x] A. They Are Parallel and point in the Same Direction
[ ] B. They Are Parallel and point in opposite Directions
[ ] C. They Are Perpendicular
[ ] D. They Have the Same Magnitude
[ ] E. They Are Equal

They both represent the same curves just at different rates.

Problem 4

Let Find the Unit Tangent Vector to This Parameterized Curve at , Pointing in the Direction of Increasing