You are given vectors AS$=5\mathrm{.}0$nd $6\mathrm{.}5$ne and BS$=3\mathrm{.}5$nd $7\mathrm{.}0$ne$.$A third vector, CS$,$ lies in the xy$-$plane. Vector CS is perpendicular to vector AS$,$ and the scalar product of CS with BS is $15\mathrm{.}0.$ From this information,find the components of vector C