For a linear triangular element with (xi, yi) as the coordinates of the ith node of the element, which option denotes twice the Area of the triangle?

(a) (x1y2 − x2y1) + (x2y3 − x3y2) + (x3y1 − x1y3)

(b) (x1y2 – x3y1) + (x2y3 – x1y2) + (x3y1 – x2y3)

(c) (x1y2 − x2y1) + (x2y3 − x3y2)

(d) (x1y1 − x2y2) + (x2y2 − x3y3) + (x3y3 − x1y1)

The question was asked at a job interview.

I need to ask this question from Boundary Value Problems topic in division Single Variable Problems of Finite Element Method