Find the position vector of a point `R`whichdivides the line joining two points `P`and `Q`whoseposition vectors are `(2 vec a+ vec b)`and (` vec a- 3 vec b)`respectively, externally in the ratio1:2.Also, show that `P`is themid-point of the line segment `R Qdot`

Find the position vector of a point `R`whichdivides the line joining t

1.	Find the position vector of a point `R`whichdivides the line joining two points `P`and `Q`whoseposition vectors are `(2 vec a+ vec b)`and (` vec a- 3 vec b)`respectively, externally in the ratio1:2.Also, show that `P`is themid-point of the line segment `R Qdot`
Answer» Correct Answer - `(3veca+ 5vecb)`

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Find the direction ratios and direction cosines of the vector `veca = (5hati - 3hatj + 4hatk)`.