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The volume of the tetrahedron with overl...

The volume of the tetrahedron with `overline(a), overline(b), overline(c)` as its co-terminous as is given by

A

`(1)/(2)[[overline(a), overline(b), overline(c)]]`

B

`(1)/(3)[[overline(a), overline(b), overline(c)]]`

C

`(1)/(6)[[overline(a), overline(b), overline(c)]]`

D

`[[overline(a), overline(b), overline(c)]]`

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The correct Answer is:
D
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. The vectors overline(a) lies in the plane of vectors overline(b) and o...

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  2. Which of the following represents the volume of paralleloP1ped. If ove...

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  3. The volume of the tetrahedron with overline(a), overline(b), overline(...

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  4. The volume of the tetrahedron with overline(a), overline(b), overline(...

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  5. If overline(p), overline(q), overline(r) are any three vectors, which...

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  6. If overline(p), overline(q), overline(r) are any three vectors, which...

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  7. If overline(a) and overline(b) are parallel vectors [[overline(a), ove...

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  8. The unit vectors parallel to the resultant vectors of 2hat(i)+4hat(j)-...

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  9. If hat(e1), hat(e2) and hat(e1)+hat(e2) are unit vectors, then angle b...

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

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

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

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

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

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

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

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

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

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

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

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