$($S$1)$ Contains Zero. If $0$ in Rm denotes the zero vector, then $0$ in W$,$

$($S$2)$ Closed Under Addition. If u$,$w in W$,$ then u$+$w in W$,$

$($S$3)$ Closed Under Scaling. If w in W and k in R$,$ then kw in W$.$ Why s

S$=\{$vector$[22]+$x vector$[22]$for all x in R$\}$ not a subspace of R$2?$Please Select one of the answers below.

$(1)$Does not contain S$1,(2)$ Does not contain S$2,(3)$Does not contain S$3,(4)$ Does not contain $1$and S$2,(5)$ Does not contain S$1$ and S$3,(6)$ Does not contain S$2$ and S$3$