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Question Number 84969 by subhankar10 last updated on 18/Mar/20

$$\mathrm{let}\mathrm{c}\mathrm{is}\mathrm{a}\mathrm{constant}\mathrm{vector}\mathrm{and}\overrightarrow{\mathrm{r}}=\mathrm{x}\hat{\mathrm{i}}+\mathrm{y}\hat{\mathrm{j}}+\mathrm{z}\hat{\mathrm{k}}\mathrm{then}\mathrm{proved}\mathrm{that}\mathrm{grad}\mid \mathrm{c}\times \overrightarrow{\mathrm{r}}{\mid }^{\mathrm{n}}=\mathrm{n}\mid \mathrm{c}\times \overrightarrow{\mathrm{r}}{\mid }^{\mathrm{n}-2}\mathrm{c}\times \left(\overrightarrow{\mathrm{r}}\times \mathrm{c}\right).$$

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