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

Question

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 (A) 5b - 4a (B) 5b + 4a (C) 4b - 5a (D) 4b + 5a

Tardigrade Admin · Accepted Answer

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

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

5b - 4a

5b + 4a

4b - 5a

4b + 5a

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

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