· Let A the area of the triangle ABC is given by ("1, ул), В %3D (x2, Y2), and C = (x3, y3) be distinct points on the plane. Show that %3D X1 Y1 1 1 det | x2 areaABC = Y2 1 | x3 Y3 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section: Chapter Questions
Problem 17RE
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1. Let A = (x1, Y1), B = (x2, Y2), and C
the area of the triangle ABOC is given by
(x3, Y3) be distinct points on the plane. Show that
X1
Y1
1
det x2
2
area ABC :
Y2
1
x3 Y3
1
Transcribed Image Text:1. Let A = (x1, Y1), B = (x2, Y2), and C the area of the triangle ABOC is given by (x3, Y3) be distinct points on the plane. Show that X1 Y1 1 det x2 2 area ABC : Y2 1 x3 Y3 1
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