Show that the point A, B, C with position vectors , and respectively are collinear.

Question

Philoid · Accepted Answer

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.