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If G is the centroid of the DeltaABC and...

If G is the centroid of the `DeltaABC` and if G' is the centroid of another `DeltaA'B'C'`, then prove that `A A'+B B'+C C'=3G G'`

A

`2 vec(GG)' `

B

`3 vec(GG)' `

C

`vec(GG)' `

D

`4 vec(GG)' `

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The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-ALGEBRA OF VECTORS-Chapter Test
  1. In a regular hexagon ABCDEF, vec(AB)+vec(AC)+vec(AD)+vec(AE)+vec(AF)=k...

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  2. If P, Q , R are the mid-points of the sides AB, BC and CA of Delta AB...

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  3. If G is the centroid of the DeltaABC and if G' is the centroid of anot...

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  4. In a quadrilateral ABCD, vec(AB) + vec(DC) =

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  5. If ABCDE is a pentagon, then vec(AB) + vec(AE) + vec(BC) + vec(DC) +...

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  6. If ABCD is a parallelogram, then vec(AC) - vec(BD) =

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  7. In a Delta ABC, " if " vec(AB) = hati - 7hatj + hatk and vec(BC) = 3 ...

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  8. If vectors vec(AB) = -3hati+ 4hatk and vec(AC) = 5hati -2hatj+4hatk ar...

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  9. The position vectors of P and Q are respectively vec a and vec b . If ...

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  10. If the points whose position vectors are 2hati + hatj + hatk , 6hati -...

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  11. The ratio in which hati + 2 hatj + 3 hatk divides the join of -2hati ...

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  12. If OACB is a parallelogrma with vec( OC) = vec(a) and vec( AB) = vec(...

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  13. The position vectors of the points A, B, C are 2 hati + hatj - hatk , ...

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  14. If ABCDEF is regular hexagon, then AD+EB+FC is

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  15. If the points with position vectors 20 hati + p hatj , 5 hati - hat...

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  16. If the position vector of a point A is vec a + 2 vec b and vec a divi...

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  17. If vec a ,\ vec b ,\ vec c and vec d are the position vectors of p...

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  18. Let G be the centroid of Delta ABC , If vec(AB) = vec a , vec(AC) = v...

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  19. If G is the intersection of diagonals of a parallelogram A B C D and O...

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  20. The vector cos alpha cos beta hati + cos alpha sin beta hatj + sin a...

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