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If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(v...

If `vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca)` and `[veca vecb vecc]=(1)/(3)`, then x+y+z is equal to

A

`7vecr.(veca+vecb+vecc)`

B

`vecr.(veca+vecb+vecc)`

C

`5vecr.(veca+vecb+vecc)`

D

`3vecr.(veca+vecb+vecc)`

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AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-B)
  1. find the area of a parallelogram whose diagonals are veca=3hati+hatj-2...

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  2. If veca and vecb are two unit vectors, then the vector (veca+vecb)xx(v...

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  3. Let veca=2hati+2hatj+hatk and vecc is a vector such that |vecaxxvecc|^...

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  4. ABCD is a quadrilateral with vec(AB) = veca, vec(AD) = vecb and vec(A...

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  5. A unit vector perpendicular to the plane passing through the points w...

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  6. If veca , vecb, vecc are the position vectors of the vertices. A,B,C ...

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  7. If vecpxxvecq=vecr and vecp.vecq=c, then vecq is

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  8. If veca=hati+hatj+hatk, veca.vecb=1 and vecaxxvecb=hatj-hatk then vecb

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  9. If veca,vecb,vecc be three vectors such that [veca vecb vec c]=4 then ...

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  10. If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca) and [veca vecb v...

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  11. If the verticles of a tetrahedron have the position vectors vec0, hati...

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  12. If [(2veca+vecb)veccvecd]=lambda[vecaveccvecd]+mu[vecbveccvecd] then l...

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  13. The unit vector veca and vecb are perpendicular, and the unit vector v...

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  14. The position vectors of the sides of triangle are 3hati+4hatj+5hatk, h...

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  15. Find the scaslars alpha and beta if vecaxx(vecbxxvecc)+(veca.vecb)vecb...

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  16. Let veca=2hati+hatj-2hatk and vecb=hati+hatj. If vecc is a vector such...

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  17. vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hatk, v...

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  18. Let veca, vecb and vecc be three vectors having magnitudes 1,1 and 2 r...

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  19. If the vectors veca and vecb are perpendicular to each other then a ve...

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  20. If veca,vecb,vecc are unit vectors such that veca is perpendicular to ...

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