Mathematics

Mathematics

Problem

Given the points P(0,0)P(0,0), Q(5,0)Q(5,0) and R(2,4)R(2,4), which one of the following orders of listing the vertices will yield a positive value of the determinant ∣x1y11x2y21x3y31∣\begin{vmatrix}x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1\end{vmatrix}? a) R, Q, PR,\,Q,\,P b) Q, P, RQ,\,P,\,R c) R, P, QR,\,P,\,Q d) P, R, QP,\,R,\,Q

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