Familiarize yourself with parametric representations of important surfaces by deriving a representa…

Familiarize yourself with parametric representations of important surfaces by deriving a representation (1), by finding the parameter curves (curves u= const and v= const) of the surface and a narmal vector \mathbf{N}=\mathbf{r}_{u} \times \mathbf{r}_{v} of the surface. (Show the details of your work).Ellipsoid \mathbf{r}(u, v)=[a \cos v \cos k, \quad b \cos v \sin u, \quad c \sin v].

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