Question:
If \(\vec{r}=x\hat{i}+y\hat{j}+z\hat{k}\) and \(r=\sqrt{x^2+y^2+z^2}\), then grad \((\frac{1}{r})\) is equal to :
If \(\vec{r}=x\hat{i}+y\hat{j}+z\hat{k}\) and \(r=\sqrt{x^2+y^2+z^2}\), then grad \((\frac{1}{r})\) is equal to :
Updated On: Mar 12, 2025
- \(-\frac{\vec{r}}{r^3}\)
- \(-\frac{\vec{r}}{r^2}\)
- \(\frac{\vec{r}}{r^3}\)
- \(\frac{\vec{r}}{r}\)
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The Correct Option is A
Solution and Explanation
The correct option is(A):\(-\frac{\vec{r}}{r^3}\).
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