Please give an easy solution ILLUSTRATION 1 Let ABC be a triangle having its centroid at G If S - Maths - Vector Algebra

Question

Please give an easy solution
ILLUSTRATION 1 Let ABC be a triangle having its centroid at G If S
is any point in the plane of the triangle, then S A → + S B
→ + S C → =
(a) S G →
(b) 2 S G →
(c) 3 S G →
(d) 0 →
Ans (c)

Neha Sethi · Accepted Answer

Dear student
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Assumption: Taking D to be the mid point of BCWe have,SA→+SB→+SC→=SA→+SB→+SC→    ⇒SA→+SB→+SC→=SA→+2SD→        as  D to be the mid point of BC⇒SA→+SB→+SC→=1+2  SG →   G divides AD in the ratio 2:1⇒SA→+SB→+SC→=3 SG →
Regards

Please give an.easy solution ILLUSTRATION 1 Let ABC be a triangle having its centroid at G. If S is any point in the plane of the triangle, then S A → + S B → + S C → = (a) S G → (b) 2 S G → (c) 3 S G → (d) 0 → Ans. (c)

Please give an.easy solution
ILLUSTRATION 1 Let ABC be a triangle having its centroid at G. If S is any point in the plane of the triangle, then $S \vec{A} + S \vec{B} + S \vec{C} =$
(a) $S \vec{G}$
(b) 2 $S \vec{G}$
(c) $3 S \vec{G}$
(d) $\vec{0}$
Ans. (c)