Gradient – A scalar field of x multiplied by an exponential function – Exercise 4262

Exercise

Calculate the gradient of the scalar field

u=xeru=xe^{|\vec{r}|}

Where

r=xi+yj+zk\vec{r}=x\vec{i}+y\vec{j}+z\vec{k}

At point (0,1,0).

Final Answer


u(0,1,0)=ei+0j+0k\nabla u(0,1,0)=e\vec{i}+0\vec{j}+0\vec{k}

Solution

Coming soon…

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