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!!!
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 .......