- #1

- 208

- 0

F= (-GMm)/(x

^{2}+y

^{2}+z

^{2})*u

where u is a unit vector in the direction from the point to the origin. How would this be represented as a vector field (this is not a homework problem, just me wondering...)?

Is u, the unit vector, able to be split up into u= {(x)i + (y)j + (z)k}/(sqrt( x

^{2}+y

^{2}+z

^{2}), then you can sub in for that and get a vector field of the form

F=(-xGMm)/(((sqrt( x

^{2}+y

^{2}+z

^{2})

^{3}) i + ... and so on?

Because then you can find the divergence of this vector field, but you can't find the divergence of that first equation I listed above because it's not explicitly a vector field...