Question

If in the given figure $\overrightarrow { O A } = \mathbf { a } , \overrightarrow { O B } = \mathbf { b }$ and $A P : P B = m : n$ then $\overrightarrow { O P } =$

• 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. $\frac { m \mathbf { a } - n \mathbf { b } } { m - n }$

Answer 1

Answer: (B)

$\frac { n \mathbf { a } + m \mathbf { b } } { m + n }$

Answer 2

It is obvious.