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In a parallelogram OABC vectors a,b,c re...

In a parallelogram OABC vectors a,b,c respectively, THE POSITION VECTORS OF VERTICES A,B,C with reference to O as origin. A point E is taken on the side BC which divides it in the ratio of 2:1 also, the line segment AE intersects the line bisecting the angle `angleAOC` internally at point P. if CP when extended meets AB in points F, then
Q. The position vector of point P is

A

`hat(i)+hat(j)`

B

`(2)/(3)(hat(i)+hat(j))`

C

`(13)/(3)(hat(i)+hat(j))`

D

`(21)/(5)(hat(i)+hat(j))`

Text Solution

Verified by Experts

The correct Answer is:
(d)
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