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(Solved):   Interpret the sign of the dot product of \( \nabla \cdot \vec{F} \). Question 4 ( Write a ...



Interpret the sign of the dot product of \( \nabla \cdot \vec{F} \).
Question 4
(
Write a vector associated with \( (0,-1) \)

 

Interpret the sign of the dot product of \( \nabla \cdot \vec{F} \). Question 4 ( Write a vector associated with \( (0,-1) \) in \( \vec{F}(x, y)=\left(2 y^{2}+x-1\right) i+\cos (x) \hat{j} \). Question 5 Which vector field has \( f(x, y, z)=x^{2} y z-\sin (x y) \) as its potential function?


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