The value of is
\( \left|\begin{array}{ccc}2 x_{1} y_{1} & x_{1} y_{2}+x_{2} y_{1} & x_{1} y_{3}...
The value of is
\( \left|\begin{array}{ccc}2 x_{1} y_{1} & x_{1} y_{2}+x_{2} y_{1} & x_{1} y_{3}+x_{3} y_{1} \\ x_{2} y_{1}+x_{2} y_{1} & 2 x_{2} y_{2} & x_{2} y_{3}+x_{3} y_{2} \\ x_{1} y_{3}+x_{3} y_{1} & x_{2} y_{3}+x_{3} y_{2} & 2 x_{3} y_{3}\end{array}\right| \)
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