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1. The problem statement, all variables and given/known data
2. Relevant equations
$$F = \nabla \phi$$
$$ F  = \sqrt{F \cdot F}$$
3. The attempt at a solution
I want to compute ## F  = \sqrt{F \cdot F}##
$$ F  = \sqrt{F \cdot F} = \sqrt{\frac{(km)^2 (rr_0)^2}{rr_0^6}} = \sqrt{\frac{(km)^2}{(rr_0)}} = \frac{km}{(rr_0)^{1/2}} = \frac{km}{rr_0} $$
That seems to be OK. I have one doubt here; would the following equality hold?
$$(rr_0)^2 = ((xx_0)  (yy_0)  (zz_0))^2$$
I do not need it for getting  F  but I want to be sure of this.
Thanks.
2. Relevant equations
$$F = \nabla \phi$$
$$ F  = \sqrt{F \cdot F}$$
3. The attempt at a solution
I want to compute ## F  = \sqrt{F \cdot F}##
$$ F  = \sqrt{F \cdot F} = \sqrt{\frac{(km)^2 (rr_0)^2}{rr_0^6}} = \sqrt{\frac{(km)^2}{(rr_0)}} = \frac{km}{(rr_0)^{1/2}} = \frac{km}{rr_0} $$
That seems to be OK. I have one doubt here; would the following equality hold?
$$(rr_0)^2 = ((xx_0)  (yy_0)  (zz_0))^2$$
I do not need it for getting  F  but I want to be sure of this.
Thanks.
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