Find the position vector of a point R which divides the line joining two points P and…

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

9. Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are (

2 \vec{a}+\vec{b}

) and (

\vec{a}-3 \vec{b}

) externally in the ratio

1: 2

. Also, show that P is the mid point of the line segment RQ .