. Collinear Points and Determinants (a) If three points lie on a line, what is the area of the "triangle" that they determine? Use the answer to this question, together with the determinant formula for the area of a triangle, to explain why the points (a, b,), (a, b,), and (az, b,) are collinear if and only if a, b, 1 bị az bz 1 = 0 as by (b) Use a determinant to check whether each set of points is collinear. Graph them to verify your answer. (i) (-6, 4), (2, 10), (6, 13) (ii) (-5, 10), (2, 6),. (15, –2)

. Collinear Points and Determinants (a) If three points lie on a line, what is the area of the "triangle" that they determine? Use the answer to this question, together with the determinant formula for the area of a triangle, to explain why the points (a, b,), (a, b,), and (az, b,) are collinear if and only if a, b, 1 bị az bz 1 = 0 as by (b) Use a determinant to check whether each set of points is collinear. Graph them to verify your answer. (i) (-6, 4), (2, 10), (6, 13) (ii) (-5, 10), (2, 6),. (15, –2)

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter11: Matrices And Determinants

Section11.4: Determinants And Cramer's Rule

Problem 69E: Collinear Points and Determinants a If three points lie on a line, what is the area of the triangle...

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Collinear Points and Determinants a If three points lie on a line, what is the area of the triangle that they determine? Use the answer to this question, together with the determinant formula for the area of a triangle, to explain why the points (a1,b1), (a2,b2) and (a3,b3) are collinear if and only if |a1b11a2b21a3b31|=0 b Use a determinant to check whether each set of points is collinear. Graph them to verify your answer. i (6,4), (2,10), (6,13) ii (5,10), (2,6), (15,2)
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