Q. 65.0( 1 Vote )

If <span lang="EN

Answer :

Let us understand that, two more points are said to be collinear if they all lie on a single straight line.


To Prove: A, B and C are collinear points.

Proof: We have been given that,

Rearrange it so that we get a relationship between and .


Now, we know that

But actually we are doing , such that O is the point of origin so that the difference between the two vectors is a displacement.

So, …(ii)


Substituting equation (ii) & (iii) in equation (i), we get

Thus, this relation shows that and are parallel to each other.

But also, is the common vector in and .

and are not parallel but lies on a straight line.

Hence, A, B and C are collinear.

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