Vector Algebra Question 231

Question: If in the given figure $ \overrightarrow{OA}=\mathbf{a},,\overrightarrow{OB}=\mathbf{b} $ and $ AP:PB=m:n, $ then $ \overrightarrow{OP}= $

[RPET 1981; MP PET 1988]

Options:

A) $ \frac{m,\mathbf{a}+n,\mathbf{b}}{m+n} $

B) $ \frac{n,\mathbf{a}+m,\mathbf{b}}{m+n} $

C) $ m,\mathbf{a}-n,\mathbf{b} $

D) $ \frac{m,\mathbf{a}-n,\mathbf{b}}{m-n} $

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Answer:

Correct Answer: B

Solution:

  • It is obvious.