If the determinant evaluated for three vertices is positive

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

If the determinant

\begin{vmatrix} x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1 \end{vmatrix}

evaluated for three vertices is positive, what does it indicate about the order in which the vertices are taken? (a)

\text{Clockwise orientation}

(b)

\text{Orientation cannot be inferred}

(c)

\text{Counter\text{-}clockwise orientation}

(d)

\text{The three points are collinear}