Show that the points having position vector , and are collinear, whatever be .

Question

Philoid · Accepted Answer

We have,

Through the vertices we get the adjacent vectors as,

To prove that A, B, C are collinear we need to prove that

.

So,

Here,

We

have

Thus, substituting the values of ,

in equation (i) we get

⇒

Thus, A, B and C are collinear.