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# Show that the points whose position vectors are as given below are collinear :

and

Answer :

Let us assume points to be A, B and C such that

Then, we need to find and .

And

Now, we need to draw a relation between and .

We know that,

Or

Or

This relation shows that and are parallel to each other.

But since, B is the common point in AB and BC.

⇒ AB and BC actually lies on a straight line.

Thus, A, B and C are collinear.

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