Condition for collinearity using determinant for JEE

Formula

\[\begin{vmatrix}x_1&y_1&1\\x_2&y_2&1\\x_3&y_3&1\end{vmatrix}=0\iff \text{the three points are collinear}\]

Variables: \((x_1,y_1),(x_2,y_2),(x_3,y_3)\): three points.

Conditions: In the plane.

Testing collinearity, line geometry.