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If veca and vecb are position vectors of...

If `veca` and `vecb` are position vectors of A and B respectively, then the position vector of a point C in `vec(AB)` produced such that `vec(AC)` =2015 `vec(AB)` is

A

`2014 veca-2015vecb`

B

`2014vecb+2015veca`

C

`2015vecb+2014veca`

D

`2015vecb-2014veca`

Text Solution

Verified by Experts

The correct Answer is:
D
`vec(AC) 2015 vec(AB)`
`therefore vecc-veca=2015(vecb-veca)`
`therefore vecc=2015 vec(b)-2014veca`
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