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Coplanarity of Four Points
For points $$A,B,C,D$$:
$$\begin{vmatrix}x_B-x_A&y_B-y_A&z_B-z_A\\x_C-x_A&y_C-y_A&z_C-z_A\\x_D-x_A&y_D-y_A&z_D-z_A\end{vmatrix}=0$$
Usage
- Used to test whether four points are coplanar.
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Coplanarity of Four Points
For points $$A,B,C,D$$:
$$\begin{vmatrix}x_B-x_A&y_B-y_A&z_B-z_A\\x_C-x_A&y_C-y_A&z_C-z_A\\x_D-x_A&y_D-y_A&z_D-z_A\end{vmatrix}=0$$
Usage
- Used to test whether four points are coplanar.
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