Plane Through Three Points

Plane Through Three Points

For three non-collinear points:

$$A(x_1,y_1,z_1),\quad B(x_2,y_2,z_2),\quad C(x_3,y_3,z_3)$$

the plane is:

$$\begin{vmatrix}x-x_1&y-y_1&z-z_1\\x_2-x_1&y_2-y_1&z_2-z_1\\x_3-x_1&y_3-y_1&z_3-z_1\end{vmatrix}=0$$

Usage

- Used to find the plane passing through three non-collinear points.