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

and

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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