If `|vec(A)xxvec(B)|=sqrt(3)vec(A).vec(B)`, then the value of `|vec(A)+vec(B)|` is

Options

A. `(A^(2)+B^(2)+(AB)/(sqrt(3)))^(1//2)`
B. `A+B`
C. `(A^(2)+B^(2)+sqrt(3)AB)^(1//2)`
D. `(A^(2)+B^(2)+AB)^(1//2)`

Answer

D