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If P, Q , R are the mid-points of the sides AB, BC and CA of `Delta ABC` and O is point whithin the triangle, then `vec (OA) + vec(OB) + vec( OC) =`

A

`2(vec(OP)+vec(OQ) + vec(OR))`

B

`vec(OP)+vec(OQ) + vec(OR)`

C

`4(vec(OP)+vec(OQ) + vec(OR))`

D

`6(vec(OP)+vec(OQ) + vec(OR))`

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-ALGEBRA OF VECTORS-Chapter Test
  1. If ABCDEF is a regualr hexagon, then vec(AC) + vec(AD) + vec(EA) + ve...

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  2. ABCDEF is a regular hexagon. Find the vector vec AB + vec AC + vec AD ...

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

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  4. If G is the centroid of Delta ABC and G' is the centroid of Delta A'...

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

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

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

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

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  9. In a Delta ABC, if vec(AB) = 3 hati + 4 hatk, vec(AC) = 5 hati + 2 hat...

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

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

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

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  13. If OACB is a parallelogramwith vec(OC) = vec a and vec (AB) = vec b...

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

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  15. If ABCDEF is a regular hexagon then vec(AD)+vec(EB)+vec(FC) equals :

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

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

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

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

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  20. If G is the intersection of diagonals of a parallelogram ABCD and O is...

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