. 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)

Question
. 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)
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Transcribed Image Text

. 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)

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