Suppose That $\vec { r } ( t )$ Is the Parametric Vector Form of Some Curve C in the Parametric

question 71

Essay

Suppose that $\vec { r } ( t )$ is the parametric vector form of some curve C in 2-space.
(a)Describe geometrically the curve parameterized by $- \vec { r } ( t )$ compared to the graph of C.
(b)Describe geometrically the curve parameterized by $\vec { r } ( - t )$ compared to the graph of C.
(c)Describe geometrically the possibility for C if $\vec { r } ( t ) = - \vec { r } ( t )$ .