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Two vectors overline(a) and overline(b) ...

Two vectors `overline(a) and overline(b)` are collinear or parellel of coincident vectors, if

A

`overline(a) and overline(b)` are negatives of each other

B

`overline(a) and overline(b)` are squares of each other

C

`overline(a) and overline(b)` are scalar multiple of each other

D

`overline(a) and overline(b)` are projections of each other

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The correct Answer is:
C
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For vectors overline(a) and overline(b) and overline(a)+overline(b)ne=0 and overline(c) is a non-zero vector, then (overline(a)+overline(b))times(overline(c)-(overline(a)+overline(b)))=

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If 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)]]) , where overline(a), overline(b), overline(c) are three non-coplanar vectors, then (overline(a)-overline(b)-overline(c))*overline(p)-(overline(b)-overline(c)-overline(a))*overline(q)-(overline(c)-overline(a)-overline(b))*overline(r)=

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If 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)]]) , where overline(a), overline(b), overline(c) are three non-coplanar vectors, then (overline(a)+overline(b)+overline(c))*(overline(p)+overline(q)+overline(r))=

NIKITA PUBLICATION-VECTOR-MULTIPLE CHOICE QUESTIONS
  1. If overline(a) is a non-zero vector and k is a scalar such that |kover...

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  2. If overline(a) is a non-zero vector of modulus a and m is non-zero sca...

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  3. Two vectors overline(a) and overline(b) are collinear or parellel of c...

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  4. If vec(a) and vec(b) are non-collinear vectors and x, y are some scala...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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