prove that (1,1) (2,2) (4,4) are collinear
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1*2-4*+2*4-1*+4*1-2
1-2+2-3+4-1
-2+6-4
4-4
=0
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Step-by-step explanation:
Let point P be (x1-y1),(x2-y2)&(x3-y3) are (1,1),(2,2)&(4,4).
Now, for collinear point P :-
P= x1(y2-y3)+x2(y3-y1)+x3(y1-y2)
= 1(2-4)+2(4-1)+4(1-2)
= -2+6-4=0.
*the given points are collinear.
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