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Chapter 4: Q 4.103 (page 457)

Determine whether the points (3, 鈭�2), (5, 鈭�3), and (1, 鈭�1) are collinear.

Short Answer

Expert verified

The Given points are collinear.

Step by step solution

01

Step 1. Given information

The given points are (3, 鈭�2), (5, 鈭�3), and (1, 鈭�1) .

02

Step 2. Calculation

x1y11x2y21x3y31Substitutethevaluesintothedeterminant.(3,鈭�2),(5,鈭�3),and(1,鈭�1).D=3-215-311-11Evaluatethedeterminantbyexpandingbyminorsusingcolumn3.15-31-1-13-21-1+13-25-3=(-5+3)-(-3+2)+(-9+10)=-2+1+1=0Thevalueofthedeterminateis0,sothepointsarecollinear.

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