Question: (12 points) Given the function F(x,y,z)=xy+yz+zx(a) Find the gradient vector ofF(x,y,z)at the point (1,1,1).(b) Write the equation of the tangent plane and of the normal

(12 points) Given the function F(x,y,z)=xy+yz+zx(a) Find the gradient vector ofF(x,y,z)at the point (1,1,1).(b) Write the equation of the tangent plane and of the normal vector to the level surface F(x,y,z)=3at the point (1,1,1).

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