Let O be the origin and the position vec...

Let O be the origin and the position vector of the point P be `-hati-2hatj+3hatk`. If the position vectors of the points A, B and C are `-2hati+hatj-3hatk, 2hati+4hatj-2hatk and -4hati+2hatj-hatk` respectively, then the projection of the vector `vec(OP)` on a vector perpendicular to the vectors `vec(AB) and vec(AC)` is

A

`7/3`

B

`10/3`

C

`8/3`

D

3

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