Question

The position vector of the point which divides the join of points \(2 \vec a - 3 \vec b\)   and \(\vec a + \vec b\)  in the ratio 3 : 1 is

Answer 1

Also, given in the question that,

A point divides AB in the ratio of 3 : 1.

Let this point be C.

⇒ C divides AB in the ratio = 3 : 1

We need to find the position vector of C.

We know the position vector of a point C dividing the line segment joining the points P and Q, whose position vectors are p and q in the ratio m : n internally is given by,