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If veca , vecb and vecc are three non-co...

If `veca , vecb` and `vecc` are three non-coplanar vectors and `vecp , vecq` and `vecr` are vectors defined by `vecp = (vecb xx vecc)/([veca vecb vecc]) , vecq = (vecc xx veca)/([veca vecb vecc])` and `vecr = (veca xx vec b)/([veca vecb vec c])` , then the value of `(veca + vecb) * (vecb + vecc) * vecq + (vecc + vec a) * vecr` =

A

0

B

1

C

2

D

3

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The correct Answer is:
D
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MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. If veca , vecb and vecc are three non-coplanar vectors and vecp , vecq...

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  2. For non zero vectors veca,vecb, vecc (veca xx vecb). Vecc= |veca| |v...

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  3. If veca= hati + hatj - hatk, vecb = hati - hatj + hatk and vecc is uni...

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  4. If vec alpha = 2 hati + 3 hatj - hatk, vec beta =- hati + 2 hatj - 4 h...

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  5. The scalar vecA.(vecB+vecC) xx (vecA+vecB+vecC) is :

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  6. If veca, vecb, vecc are three non-coplanar vectors, then [veca+ vecb +...

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  7. The position vectors of the points A and B are veca and vecb respectiv...

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  8. If the non-zero vectors veca and vecb are perpendicular to each other,...

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  9. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

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  10. If veca, vecb and vecc are unit coplanar vectors, then the scalar trip...

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  11. If veca = hati + hatj - hatk, vecb =- hati + 2 hatj + 2 hatk and vec c...

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  12. If veca,vecb,vecc are unit vectors, then : |veca -vecb|^(2)+|vecb -v...

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  13. If veca = ahti - ahtk, vecb = x hati + hatj + (1-x) hatk and vecc = y ...

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  14. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

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  15. If veca = 3 hati - 5 hatj and vecb = 6 hati + 3 hatj are two vectors ...

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  16. Let vecv = 2hati + 2hatj - hatk and vecw = hati + 3hatk. If vecu is a ...

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  17. If veca and vecb are two unit vectors such that veca + 2 vecb and 5 v...

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  18. If vecu, vecv and vecw are three non-coplanar vectors, then : (vecu ...

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  19. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

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  20. Let veca, vecb and vecc be three non-zero vectors such that no two of ...

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