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The position vectors of P and Q are resp...

The position vectors of `P` and `Q` are respectively `a` and `b`. If `R` is a point on `PQ` such that `PR=5PQ`, then the position vector of `R` is

A

5b - 4a

B

5b + 4a

C

4b - 5a

D

4b + 5a

Text Solution

Verified by Experts

The correct Answer is:
A
Given, PR = 5 PQ
It means R divides PQ externally in the ratio 5 : 4.
`therefore` Position vector of `R=(5b-4a)/(5-4)=5b-4a`
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