Math-292, analyitc geomerty and calculusIII

I’m trying to study for my Mathematics course and I need some help to understand this question.

example from the exam:

1.1) Consider the gravitational field F represented by the function.

F(x,y,z)=[-mMGx/(x^2+y^2+z^2)^2/3]i+[-mMGy/(x^2+y^2+z^2)^2/3]j+[-mMGz/(x^2+y^2+z^2)^2/3]k, m, M, G are constants

a) What is the domain of the gravitational field?
b) Sketch the vector field F

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