let <.,.> be the standard inner product on R^{n}. Let T: R^{n}→R^{n}be a linear transformation such that <T(v),v>=0 for all vƐ R^{n}. then

A) T(v)=0 for all vƐ R^{n }B) T is necessarily anti symmetric

C) T is necessarily symmetric

D) det T= 0.