CONCEPT CHECK
Tangent Vector
Consider a point on a surface given by . What is the relationship between and any tangent vector at ? How do you represent this relationship mathematically?
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Normal Line
Consider a point on a surface given by . What is the relationship between and any normal line through ?
Secant and Tangent Lines Discuss the relationship between secant lines through a fixed point and a corresponding tangent line at that fixed point.
Parametric Surface Explain how a parametric surface is represented by a vector-valued function and how the vector valued function is used to sketch the parametric surface.
