Let $F(t)=cos(2t)i+3tj+t^{2}k$ and $G(t)=tcos(2t)i+t^{2}j+2e^{t}k,$ find $F(t)*G(t)$

A$.tco{s}^2(2t)+3t^3+2t^2{e}^t$

B$.(6t{e}^t-t^4)i+(t^3-2e^t)cos(2t)j+(t^2-3t^2)cos(2t)k$

c$.(tco{s}^2(2t)+3t^3+2t^2{e}^t)j$

D$.tco{s}^2(2t)i+3t^{3}j+2t^2{e}^{t}k$

E$.6t{e}^t-t^4+(t^3-2e^t)cos(2t)+(t^2-3t^2)cos(2t)$