Hey guys ive been asked to calculate the divergence and curl of the vector function:

V(x,y,z)= (xi + yj + zk)/r^2

where r^2=(x^2)+(y^2)+(z^2)

Any help would be great i dont know where to begin with this one!!!

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- Mar 29th 2008, 01:19 AMmarz_croDivergence and Curl
Hey guys ive been asked to calculate the divergence and curl of the vector function:

V(x,y,z)= (xi + yj + zk)/r^2

where r^2=(x^2)+(y^2)+(z^2)

Any help would be great i dont know where to begin with this one!!! - Mar 29th 2008, 04:22 AMmr fantastic
How about beginning by looking at the definitions? What do

*they*suggest you need to do ....?

Finding is hackwork much better left for you to do. But once found, you can use symmetry to easily write down:

(just swap x and y around in your answer for ), and

(just swap x and z around in your answer for ).

Of course, you could always recognise that and find div and curl in an appropriate alternative coordinate system ...

PS. I assume you're OK with the level curve question doing the rounds from this assignment .......