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arrow_back Which of the following is the equation of the plane through the points $(3,-2,5),(1,4,-1),(2,-6,7) ?$

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Which of the following is the equation of the plane through the points $(3,-2,5),(1,4,-1),(2,-6,7) ?$ \begin{equation} \text { A. }\left|\begin{array}{rrr} x-3 & y+2 & z-5 \\ 2 & 6 & -6 \\ -1 & -4 & 2 \end{array}\right|=0 \end{equation} $$ \text { B. } x(3,-2,5)+y(1,4,-1)+z(2,-6,7)=0 $$ \begin{equation} \text { C. }\left|\begin{array}{rrr} x-1 & y-4 & z+1 \\ 2 & 6 & -6 \\ -1 & -4 & 2 \end{array}\right|=0 \end{equation} $$ \text { D. }(3,-2,5)=p(1,4,-1)-(2,-6,7), p \in \mathbf{R} $$ \begin{equation} \text { E. }\left|\begin{array}{rrr} x-1 & y-4 & z+1 \\ 1 & -3 & 3 \\ 1 & -10 & 8 \end{array}\right|=0 \end{equation}

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