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If overline(a) and overline(b) are two n...

If `overline(a) and overline(b)` are two non-collinear vectors, then `xoverline(a)+yoverline(b)`, where x and y are scalars represents a vector which is

A

parallel to `overline(b)`

B

parallel to `overline(a)`

C

coplanar with `overline(a) and overline(b)`

D

coplanar with `overline(a) or overline(b)`

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The correct Answer is:
C
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NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If vec(a) and vec(b) are non-collinear vectors and x, y are some scala...

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  2. If overline(a), overline(b), overline(c) are non-collinear vectors suc...

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  3. If overline(a) and overline(b) are two non-collinear vectors, then xov...

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  4. [[overline(a), overline(b), overline(c)]] is the scalar triple product...

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  5. Let the vectors overline(u), overline(v), overline(w) be coplanar, , t...

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  6. The vectors overline(a) lies in the plane of vectors overline(b) and o...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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