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overline(a), overline(b) are vectors, ov...

`overline(a), overline(b)` are vectors, `overline(AB), overline(BC)` determined by two adjacent sides of a regular hexagon ABCDEF.The vector represented by `overline(EF)` is

A

`overline(a)-overline(b)`

B

`overline(a)+overline(b)`

C

`2overline(a)`

D

`-overline(b)`

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The correct Answer is:
D
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[[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overline(a)]]=

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

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

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

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

If overline(a) and overline(b) represent the sides overline(AB) and overline(BC) of a regular hexagon ABCDEF, then overline(FA)=

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

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

If overline(a) and overline(b) are parallel vectors [[overline(a), overline(b), overline(c)]] =

If overline(a),overline(b), overline(c) are three non-coplanar vectors and overline(p), overline(q), overline(r) are vectors defined by the relations overline(p)=(overline(b)timesoverline(c))/([[overline(a), overline(b), overline(c)]]), overline(q)=(overline(c)timesoverline(a))/([[overline(a), overline(b), overline(c)]]), overline(r)=(overline(a)timesoverline(b))/([[overline(a), overline(b), overline(c)]]) , then (overline(a)+overline(b))*overline(p)+(overline(b)+overline(c))*overline(q)+(overline(c)+overline(a))*overline(r)=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. ABCDE is a pentagon. The resultant of the vectors overline(AB), overli...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. If overline(x)*overline(a)=0, overline(x)*overline(b)=0, overline(x)*o...

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  20. If vectors overline(a)=2hat(i)+3hat(j)+4hat(k), overline(b)=hat(i)+hat...

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