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If overline(a)*hat(i)=overline(a)*(2hat(...

If `overline(a)*hat(i)=overline(a)*(2hat(i)+hat(j))=overline(a)*(hat(i)+hat(j)+3hat(k))=1`, then `overline(a)=`

A

`hat(i)-hat(j)+hat(k)`

B

`3hat(i)-3hat(j)+3hat(k)`

C

`(hat(i)+hat(j)+2hat(k))/(3)`

D

`(3hat(i)-3hat(j)+hat(k))/(3)`

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The correct Answer is:
D
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If hat(e1), hat(e2) and hat(e1)+hat(e2) are unit vectors, then angle b...

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  2. (overline(a)*hat(i))hat(i)+(overline(a)*hat(j))hat(j)+(overline(a)*hat...

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  3. If overline(a)*hat(i)=overline(a)*(2hat(i)+hat(j))=overline(a)*(hat(i)...

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  4. If overline(c)=5overline(a)-4overline(b) and overline(a) is perpendicu...

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  5. If overline(c)=2overline(a)+5overline(b), |overline(a)|=a, |overline(b...

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  6. If the angle between overline(b) and overline(c) is (pi)/(3) and overl...

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  7. If the angle between overline(a) and overline(b) is (P1)/(4) and overl...

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  8. If the angle between vec(a) and vec(b) is (pi)/(6) and vec(c)=vec(a)+3...

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  9. If overline(b)=overline(a)-4overline(c) and angle between overline(a) ...

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  10. If the position vectors of the vertices of a triangle be 2hat(i)+4hat(...

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  11. If 7hat(j)+10hat(k), -hat(i)+6hat(j)+6hat(k) and -4hat(i)+9hat(j)+6hat...

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  12. Let alpha,beta,gamma be distinct real numbers. The points with positio...

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  13. The perimeter of the triangle with sides 3hat(i)+4hat(j)+5hat(k), 4hat...

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  14. The perimeter of the triangle whose vertices have the position vectors...

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  15. Let overline(lambda)=overline(a)times(overline(b)+overline(c)), overli...

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  16. |[overline(a)*overline(a), overline(a)*overline(b)], [overline(a)*over...

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  17. The value of |[overline(a)*overline(a), overline(a)*overline(b), overl...

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  18. If overline(a), overline(b), overline(c) be three vecotrs such that ov...

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  19. If |overline(a)|=50 and overline(b)=6hat(i)-8hat(j)-(15)/(2)hat(k) are...

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  20. If overline(a) and overline(b) are the position vectors of the points ...

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