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MHT CET202016 Oct 2020Evening ShiftMathematicsVector AlgebraActual

Let G be the centroid of a triangle ABC and 0 be any other point in that plane, then OA + OB + OC + OG =

Options

  1. A4 OG
  2. BO
  3. C3 OG
  4. D2 OG

Correct answer

A. 4 OG

Step-by-step solution

(B) Let O be the origin. Let a , b , c be the position vectors of vertices A, B, C respectively. OA + OB + OC = a + b + c Given : G is the centroid of triangle array l OG = a + b + c 3 a + b + c =3 OG OA + OB + OC + OG =3 OG + OG =4 OG array

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