Consider two points P and Q with position vectors $\to O P = 3 \to a - 2 \to b$ and $\to O Q =\to a + \to b$ Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1, (i) internally, and (ii) externally.

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Consider two points P and Q with position vectors

\to O P = 3 \to a - 2 \to b

and

\to O Q =\to a + \to b

Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1, (i) internally, and (ii) externally.

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Question Text

Consider two points P and Q with position vectors

\to O P = 3 \to a - 2 \to b

and

\to O Q =\to a + \to b

Find the position vector of a point R which divides the line joining P and Q in the ratio 2:1, (i) internally, and (ii) externally.

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