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veca=2veci+vecj+veck, vecb=b(1)hati+b(2)...

`veca=2veci+vecj+veck`, `vecb=b_(1)hati+b_(2)hatj+b_(3)hatk`,
`veca xx vecb=5hati+2hatj-12hatk, veca.vecb=11`, then `b_(1)+b_(2)+b_(3)=`

A

3

B

5

C

7

D

9

Text Solution

Verified by Experts

The correct Answer is:
B
`vecb= ((vecaxxvecb)xx veca+(veca.vecb)veca)/(|veca|^(2))`
`=6hati-3hatj+2hatk`
`rArr vecb_(1)+vecb_(2)+vecb_(3)=6-3+2=5`
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CENGAGE-VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS-DPP 2.4
  1. veca=2veci+vecj+veck, vecb=b(1)hati+b(2)hatj+b(3)hatk, veca xx vecb=...

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  2. If veca,vecb,vecc,vecd are unit vectors such that veca.vecb=1/2, vecc....

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  3. If veca,vecb,vecd,vecd be vectors such that [vecavecbvecc]=2 and (...

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  4. Let (hatp xx vecq) xx (hatp.vecq)vecq =(x^(2)+y^(2))vecq + (14-4x-6y...

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  5. If veca, vecb,vecc are three on-coplanar vectors such that veca xx vec...

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  6. Let hata and hatb be two unit vectors such that hata.hatb=1/3 and veca...

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  7. Let veca and vecc be unit vectors inclined at pi//3 with each other. I...

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  8. if veca=hati+hatj+2hatk, vecb=hati+2hatj+2hatk and |vecc|=1 Such tha...

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  9. If the angles between the vectors veca and vecb,vecb and vecc,vecc an ...

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

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  11. If veca, vecb, vecc are non coplanar vectors and vecp, vecq, vecr are ...

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  12. Let veca=hati-3hatj+4hatk, vecB=6hati+4hatj-8hatk, vecC=5hati+2hatj+5h...

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  13. The volume of the parallelepiped whose coterminous edges are represent...

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  14. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

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  15. If veca, vecb, vecc are three non-zero vectors, then which of the foll...

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  16. Vectors veca, vecb, vecc are three unit vectors and vecc is equally in...

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  17. If veca and vecb are unequal unit vectors such that (veca -vecb) xx [(...

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  18. veca=2hati+hatj+2hatk, vecb=hati-hatj+hatk and non zero vector vecc ar...

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  19. Volume of parallelogram whose adjacent sides are given by veca, vecb, ...

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  20. A vector along the bisector of angle between the vectors vecb and vec...

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