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

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

BITSATBITSAT 2008

Solution:

Given condition
$P R=5 P Q$
$R-P=5(Q-P)$
$R=5 Q-5 P+P$
$R=5 Q-4 P$
$R=5 b-4 a$

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