Gradient – Calculate scalar field gradient and direction – Exercise 4257

Exercise

Calculate the gradient of the scalar field

$u=xyz$

At point (2,1,1)

And calculate its direction at this point.

Final Answer

\nabla u(2,1,1)=\vec{i}+2\vec{j}+2\vec{k}

$\hat{\nabla} u(2,1,1)=\frac{1}{3}\vec{i}+\frac{2}{3}\vec{j}+\frac{2}{3}\vec{k}$

Coming soon…

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