- #1
schaefera
- 208
- 0
In my book, it says that gravity can be thought of as a force in the form of this vector:
F= (-GMm)/(x2+y2+z2)*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( x2+y2+z2), then you can sub in for that and get a vector field of the form
F=(-xGMm)/(((sqrt( x2+y2+z2)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...
F= (-GMm)/(x2+y2+z2)*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( x2+y2+z2), then you can sub in for that and get a vector field of the form
F=(-xGMm)/(((sqrt( x2+y2+z2)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...