Q9 Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are externally in the ratio 1: 2. Also, show that P is the mid point of the line segment RQ.
Given, two vectors
the point R which divides line segment PQ in ratio 1:2 is given by
Hence position vector of R is .
Now, Position vector of the midpoint of RQ
which is the position vector of Point P . Hence, P is the mid-point of RQ