Match the statements/expressions given in column I with the values given in Column II. Column I, Column II In `R^2,` if the magnitude of the projection vector of the vector `alpha hat i+beta hat j` on `sqrt(3) hat i+ hat ji ssqrt(3)` and if `|alpha|` is /are, (p) 1 Let `aa n db` be real numbers such that the function `f(x)={-3a x^2-2,x<1b x+a^2, xgeq1` Differentiable for all `x in Rdot` Then possible value `(s)` of a is/are, (q) 2 Let `omega!=1` be a complex cube root of unity. If`(3-3omega+2omega^2)^(4n+3)+(2+3omega-3omega^2)^(4n+3)+(-3-2omega+3omega^2)^(4n+3)=0` , then possible values (s) of `n` is /are, (r) 3 Let the harmonic mean of two positive real numbers `aa n db` be 4. If `q` is a positive real number such that `a ,5,q ,b` is an arithmetic progressin, then the values `(s)of|q-a|` is /are, (s) 4 , (t) 5