Question

Shown that the points with position vectors (a - 2b + 3c,-2a + 3b + 2c and -8a + 13b) are collinear.

Answer 1

To prove the points P, Q, R are collinear we have to prove that 

vector (PQ) = t vector (PR) where t is a scalar.

Let the given points be P, Q, R.

Then,

So, the points P, Q, R are collinear (i.e,) the given points are collinear.