Question

State the reason for the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} not to be transitive.​

Answer 1

As in the given relation R, (1,2) and (2,1) are present but (1,1) is not present, hence, it is not transitive.

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Answer 2

Answer:

Th.e equ.ation of a pla.ne pas.sing thr.ough (1,−2,3) is a(x−1)+b(y+2)+c(z−3)=0 ...(i)

It pas.ses thro.ugh (−1,2,−1) an.d is para.llel to the giv.en lin.e

=−1c

He.nce, a:b:c=2:0:−1.

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