Using vector method, show that the given points A, B, C are collinear: A(6, − 7, − 1), B(2, − 3, 1) and C(4, − 5, 0).

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.