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In triangleABC, D divides BC in the rati...

In `triangleABC,` D divides BC in the ratio l:m, G divides AD in the ratio (l+m):n then the position vector of G is

A

`(moverline(c)+noverline(b)+loverline(a))/(m+n+l)`

B

`(loverline(a)+moverline(b)+noverline(c))/(m+n+l)`

C

`(noverline(c)+loverline(b)+moverline(a))/(m+n+l)`

D

`(loverline(c)+moverline(b)+noverline(a))/(m+n+l)`

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The correct Answer is:
D
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
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  3. In triangleABC, D divides BC in the ratio l:m, G divides AD in the rat...

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  4. The positon vectors of points P, Q, R are given by overline(p)=overlin...

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  7. If G(a,2,-1) is the centroid of the triangle with vertices P(1,3,2),Q(...

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  8. If G(r, (-4)/(3), (1)/(3)) is centroid of the triangle having vertices...

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  9. If G(-1, 2, 1) is the centroid triangle ABC whose two vertices are A(3...

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  10. If A(2, -2, 3), B(x, 4, -1), C(3, x, -5) are the vertices and G(2, 1, ...

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  11. If A(1, 4, 2), B(-2, 3, -5) are two vertices A and B and G((4)/(3), 0,...

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  12. The incentre of triangle whose vertices are A(0, 3, 0), B(0, 0, 4), C(...

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  13. The incentre of triangle whose vertices are A(0, 3, 0), B(0, 0, 4), C(...

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  14. The incentre of triangle whose vertices are P(0, 2, 1), Q(-2, 0, 0), R...

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  15. overline(PQ)-overline(TQ)+overline(PS)+overline(ST)=

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  16. overline(AB)-overline(CB)+overline(DA)+2overline(CD)=

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  17. If A, B, C, D, E are five coplanar points, then overline(DA)+overline...

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  18. If overline(a) and overline(b) are position verctors of A and B respec...

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  19. overline(OA)+6overline(BC)+overline(AB)+5overline(OB)=

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  20. If D ,\ E ,\ F are the mid points of the side B C ,\ C A and A B respe...

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