A triangle is described by its vertices P, Q and R

MATHEMATICS · Multi-part · CBSE · Mathematics · Determinants · Determinants

Problem

A triangle is described by its vertices P, Q and R, taken in that order. (a) If the determinant formed from the coordinates of P, Q and R equals −18-18, what does the negative sign indicate about the orientation of the vertices? (b) Without performing any arithmetic, state the expected sign of the determinant if the vertices are taken in the order P, R, Q.

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