If $S$ is the circumcentre, $O$ is the orthocentre and $G$ is the centroid of a triangle $ABC$, then match the items of the List-$I$ with those of the items of List-$II$ given below.
| List-$I$ | List-$II$ |
| :--- | :--- |
| $(i)$ $\vec{SA} + \vec{SB} + \vec{SC}$ | $(A)$ $2\vec{OS}$ |
| (ii) $\vec{GA} + \vec{GB} + \vec{GC}$ | $(B)$ $\frac{2}{3}\vec{OS}$ |
| (iii) $\vec{OA} + \vec{OB} + \vec{OC}$ | $(C)$ $\vec{0}$ |
| (iv) $\vec{OG}$ | $(D)$ $\vec{SO}$ |
| | $(E)$ $\vec{OS}$ |

• A
  $i \rightarrow C, ii \rightarrow B, iii \rightarrow E, iv \rightarrow A$
• B
  $i \rightarrow B, ii \rightarrow C, iii \rightarrow A, iv \rightarrow D$
• C
  $i \rightarrow D, ii \rightarrow A, iii \rightarrow C, iv \rightarrow E$
• D
  $i \rightarrow D, ii \rightarrow C, iii \rightarrow A, iv \rightarrow B$