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Let the unit vectors `vec a, vec b, vec c ` be the position vectors of the vertices of a `DeltaABC`. If F is the position vector of the mid point of line segment joining its orthocenter and centroid, then`(vec a - vec F)^2+ (vec b - vec F)^2 +(vec a - vec F)^2`

A

1

B

2

C

3

D

none of these

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The correct Answer is:
C
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