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## Homework Statement

Calculate the (1) divergence and (2) curl of the following vector ﬁelds.

(a) [tex]\widehat{E}(\widehat{x}) = r^{n}\widehat{x}[/tex]

(b) [tex]\widehat{E}(\widehat{x}) = r^{n}\widehat{a}[/tex]

(c) [tex]\widehat{E}(\widehat{x}) = r^{n}*(\widehat{a} X \widehat{x}[/tex]

where r = |[tex]\widehat{x}|[/tex] and [tex]\widehat{a}[/tex] is a constant vector .

## Homework Equations

???

## The Attempt at a Solution

I know how to find the divergence and curl of a vector or scalar field if told the equation for the field explicitly, but how would I solve the above? I don't know where to begin so any help would be greatly appreciated!

Also what is a constant vector? I thought to define a vector you have to give a direction and magnitude and in giving it those quantities you effectively make it constant? Unless it means that wherever in your coordiante system it is it has the same value (but wouldn't that just be a vector)? Please help.