Answer :

[tex]A(-3;\ 6;\ 7);\ B(2;-1;\ 4)\\\\|AB|=\sqrt{(2-(-3))^2+(-1-6)^2+(4-7)^2}\\\\=\sqrt{5^2+(-7)^2+(-3)^2}=\sqrt{25+49+9}=\sqrt{83}[/tex]

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