If \( \mathrm{a}, \mathrm{b}, \mathrm{c} \) and \( \mathrm{A}, \mat...

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If \( \mathrm{a}, \mathrm{b}, \mathrm{c} \) and \( \mathrm{A}, \mathrm{B}, \mathrm{C} \in \mathrm{R}-\{0\} \) such that \( \mathrm{aA}+\mathrm{bB}+ \)
P \( c C+\sqrt{\left(a^{2}+b^{2}+c^{2}\right)\left(A^{2}+B^{2}+C^{2}\right)}=0 \) then value

W of \( \frac{\mathrm{aB}}{\mathrm{bA}}+\frac{\mathrm{bC}}{\mathrm{cB}}+\frac{\mathrm{cA}}{\mathrm{aC}} \) is \( = \)
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