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ABCDE is a pentagon. The resultant of th...

ABCDE is a pentagon. The resultant of the vectors `overline(AB), overline(AE), overline(BC), overline(DC), overline(ED) and overline(AC)` in terms of `overline(AC)` is

A

`4overline(AC)`

B

`2overline(AC)`

C

`3overline(AC)`

D

`5overline(AC)`

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The correct Answer is:
C
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overline(AB)-overline(CB)+overline(DA)+2overline(CD)=

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

[[overline(a)-overline(b), overline(b)-overline(c), overline(c)-overline(a)]]=

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[[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overline(a)]]=

[[overline(a), overline(b), overline(a)timesoverline(b)]]=

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

If overline(c)=3overline(a)-2overline(b) , then [[overline(a), overline(b), overline(c)]]=

overline(a)*((overline(a)+overline(b)+overline(c))times(overline(b)+overline(c)))=

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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
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  2. If PQRST is a pentagon, then overline(PQ)+overline(PR)+overline(PS)-ov...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. For non-zero vectors overline(a), overline(b), overline(c), (overline(...

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  20. For non-zero vectors overline(a), overline(b), overline(c), (overline(...

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