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If vec(r(1)) and vec(r(2)) are the posi...

If `vec(r_(1)) and vec(r_(2))` are the position vectors of mass bodies `M_(1) and M_(2)` then represent force between them in a vector from.

Text Solution

Verified by Experts

From the figure,
`vec(r_(12)) and vec(r_(2))-vec(r_(1))`
By Newton's gravitational law ,
`vec(F_(12)) =-(GM_(1)M_(2))/(r^(3)).vec(r_(12))`
i.e., `vec(F_(21)) =-(Gm_(1)m_(2))/(r^(3)).vec(r_(21))`
where `vec(F_(21)) ` is force on 2 due to 1
and `vec(r_12)=vec(r_(2))-vec(r_(1))and vec(r)=xhat(i)+yhat(j)+zhat(k)`
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