Let `vec(a)` and `vec(b)` be two unit vectors such that `vec(a).vec(b)=0` For some `x,y in R`, let `vec(c)=xvec(a)+yvec(b)+(vec(a)xxvec(b))` If `|vec(c)|=2` and the vector `vec(c)` is inclined at same angle `alpha` to both `vec(a)` and `vec(b)` then the value of `8cos^2alpha` is

Answer

3