Gravitational force between two point masses (vector notation) (Q1777)

\\vec {F}_g(B\\gets A)=G\\frac{m_Am_B}{\\left\\| \\overrightarrow{BA} \\right\\|^2}\\widehat{BA}\\\\\n\\vec {F}_g(A \\gets B)=G\\frac{m_Am_B}{\\left\\| \\overrightarrow{AB} \\right\\|^2}\\widehat{AB}