Q16 of 25 Page 10

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are and externally in the ratio 1:2. Also, show that p is the mid-point of the line segment RQ.

Here,



Since R is externally divided PQ in the ratio 1:2


Then, the position of vector R =






Therefore, The position vector of R is



Now, The midpoint of RQ


Mid-point =




Mid-point of RQ is =


And, This is the position vector of P.


Hence, P is the midpoint of RQ


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