Consider a point (x 0 , y 0 , z 0 ) on a surface given by F(x, y, z) 0 What is the relationship between F(x 0 , y 0 , z 0 ) and any tangent vector v at (x 0 , y 0 , z 0 ) How do you represent this relationship mathematically

Question: Consider a point (x 0 , y 0 , z 0 ) on a surface given by F(x, y, z) = 0. What is the

Consider a point (x₀, y₀, z₀) on a surface given by F(x, y, z) = 0. What is the relationship between ∇F(x₀, y₀, z₀) and any tangent vector v at (x₀, y₀, z₀)? How do you represent this relationship mathematically?

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