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.