Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Calculus Vector Calculus
For a position vector \(\vec{r}=x \vec{i}+y \vec{j}+z \vec{k} t\) the norm of a vector can be defined as\(|\vec{r}|=\sqrt{x^2+y^2+z^2}\). Given ϕ = In\(|\vec{r}|\), then is gradient
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\(\stackrel{\rightharpoonup}{r}\)
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\( \frac {\vec{r} }{\vec{|r|}} \)
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\( \frac {\vec{r} }{\vec{r}.\vec{r}} \)
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\( \frac {{r} }{\vec{|r|^3}} \)