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If `A B C D` is a rhombus whose diagonals cut at the origin `O ,` then proved that ` vec O A+ vec O B+ vec O C+ vec O D+ vec Odot`

A

`overline(AB)+overline(AC)`

B

`2(overline(AB)+overline(AC))`

C

`overline(AC)+overline(BD)`

D

`overline(O)`

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The correct Answer is:
D
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. ABCD is a parallelogram and O is the point of intersection of its diag...

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  2. In parallelogram ABCD,if P, Q are mid-points of BC and CD respectively...

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  3. If A B C D is a rhombus whose diagonals cut at the origin O , then ...

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  4. If PQRST is a pentagon, then overline(PQ)+overline(PR)+overline(PS)-ov...

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  5. ABCDE is a pentagon. The resultant of the vectors overline(AB), overli...

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  6. If ABCDE is a pentago, then overline(AB)+overline(BC)+overline(CD)+ove...

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  7. overline(a), overline(b) are vectors, overline(AB), overline(BC) deter...

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  8. If ABCDEF is a regular hexagon inscribed in a circle with centre O, th...

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  9. If ABCDEF is a regular hexagon, then overline(AB)+overline(AC)+overlin...

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  10. In a regular hexagon ABCDEF, vec(AE)

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  11. If overline(a) and overline(b) represent the sides overline(AB) and ov...

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  12. If vec a ,\ vec b are the vectors forming consecutive sides of a reg...

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  13. If A(3, -2, 2) and B(2, 9, 5) are end points of a diameter of a circle...

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  14. If AB and CD are two chord of a circle intersecting at right angles in...

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  15. hat(i)*(hat(j)timeshat(k))+hat(j)*(hat(k)timeshat(i))+hat(k)*(hat(i)ti...

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  16. If hat(i), hat(j), hat(k) are the unit vectors and mutually perpendicu...

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  17. If hat(i), hat(j), hat(k) are the unit vectors and mutually perpendicu...

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  18. If hat(i), hat(j), hat(k) are the unit vectors and mutually perpendicu...

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  19. If overline(a), overline(b), overline(c) are three non-zero, non-copla...

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  20. If overline(a)*overline(b)=overline(b)*overline(c)=overline(c)*overlin...

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