Coplanarity of Four Points Using Determinant

Rarely Tested

Coplanarity of Four Points Using Determinant

Four points are coplanar if:

$$\begin{vmatrix}x_1&y_1&z_1&1\\x_2&y_2&z_2&1\\x_3&y_3&z_3&1\\x_4&y_4&z_4&1\end{vmatrix}=0$$

Usage

- Used for direct coordinate-based testing of coplanarity.

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