Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are \[\widehat{i}+2\widehat{j}-\widehat{k}\] and \[-\widehat{i}+\widehat{j}+\widehat{k}\] respectively, in the ratio \[2:1\]
Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are \[\widehat{i}+2\widehat{j}-\widehat{k}\] and \[-\widehat{i}+\widehat{j}+\widehat{k}\] respectively, in the ratio \[2:1\]

We know that

The position vector of point R dividing the line segment joining two points

P and Q in the ratio m: is given by: