An equilateral triangle has each of its sides of length 4 cm

MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants

Problem

An equilateral triangle has each of its sides of length 4 cm. If (x1,y1),(x2,y2),(x3,y3)(x_1, y_1), (x_2, y_2), (x_3, y_3) are its vertices, the value of ∣x1y11x2y21x3y31∣\begin{vmatrix} x_1 & y_1 & 1 \\ x_2 & y_2 & 1 \\ x_3 & y_3 & 1 \end{vmatrix} is (1) 192 (2) 768 (3) 1024 (4) 128

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