Using vector method, show that the given points A, B, C are collinear: A(3, − 5, 1), B( − 1, 0, 8) and C(7, − 10, − 6)

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

⇒