The position vectors of two points P and Q are given \overrightarrow{O P}=2 \overrightarrow{a}-\overrightarrow{b} and \overrightarrow{O Q}=\overrightarrow{a}+3 \overrightarrow{b}, respectively. If a point R divides the line joining P and Q internally in the ratio 1: 2, then the position vector of the point R is

Correct Answer is : 13(5→a+→b)

\frac{1}{3}(5 \overrightarrow{a}-\overrightarrow{b})

\frac{1}{3}(5 \overrightarrow{a}+\overrightarrow{b})

\frac{1}{3}(\overrightarrow{a}-5 \overrightarrow{b})

\frac{1}{3}(\overrightarrow{a}+5 \overrightarrow{b})

\frac{1}{3}(\overrightarrow{a}+\overrightarrow{b})

KEAM 2023 Math Solved Paper

Question : 68 of 120

Marks: +1, -0

The position vectors of two points P and Q are given

→

−

→

and

→

, respectively. If a point R divides the line joining P and Q internally in the ratio 1:2, then the position vector of the point R is

Go to Question:

Prev Question

Next Question