Passing through three points with plane equation

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Plane Equation
A plane equation passing through three points @@A(x_1, y_1, z_1)@@, @@B(x_2, y_2, z_2)@@, @@C(x_3, y_3, z_3)@@ is
@@ \begin{vmatrix} 1 & x & y & z \\ 1 & x_1 & y_1 & z_1 \\ 1 & x_2 & y_2 & z_2 \\ 1 & x_3 & y_3 & z_3 \end{vmatrix} =0@@