Write the position vector of the point which divides the join of points with position vectors and in the ratio 2:1. [CBSE 2016]

To find: position vector of the point which divided the join of points of given vector in 2:1

Formula used: The position vector of a point which divides the line of position vectors Y and X in the ratio m:n externally is given by,

Let required position vector be

Therefore,

Hence, the required position vector is