In Exercises 21–24, a, b, and c are
Chapter 8, Problem 21E(choose chapter or problem)
In Exercises 21–24, a, b, and c are noncollinear points in R2 and p is any other point in R2. Let denote the closed triangular region determined by a, b, and c, and let be the region determined by p, b, and c. For convenience, assume that a, b, and c are arranged so that det is positive, where and are the standard homogeneous forms for the points.Show that the area of [Hint: Consult Sections 3.2 and 3.3, including the Exercises.]
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