Define collineat and non collineat point-
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Hi !
(k,3) = (x₁,y₁)
(6,-2) = (x₂,y₂)
(-3,4)= (x₃,y₃)
As they are collinear ,
x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) = 0
k(-2-4) + 6( 4 -3) + -3(3 -(-2)) = 0
k(-6) + 6(1) + -3(5) = 0
-6k + 6 - 15 = 0
-6k - 9 = 0
-6k = 9
k = 9/-6
k = -3/2
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•Three or more points , , , ..., are said to be collinear if they lie on a single straight line. . A line on which points lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis. Two points are trivially collinear since two points determine a line.
•not collinear: a : not lying or acting in the same straight line noncollinear forces. b : not having a straight line in common noncollinear planes.
SEE THAT ATTACHED PICTURE FOR HELP, THERE Point A, F and B are co linear points and G and H are non co linear points
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