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Let veca,vecb,vecc be three noncolanar v...

Let `veca,vecb,vecc` be three noncolanar vectors and `vecp,vecq,vecr` are vectors defined by the relations` vecp= (vecbxxvecc)/([veca vecb vecc]), vecq= (veccxxveca)/([veca vecb vecc]), vecr= (vecaxxvecb)/([veca vecb vecc])` then the value of the expression `(veca+vecb).vecp+(vecb+vecc).vecq+(vecc+veca).vecr`. is equal to (A) 0 (B) 1 (C) 2 (D) 3

A

0

B

1

C

2

D

3

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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. For any vectors vecr the value of hatixx(vecrxxhati)+hatjxx(vecrxxha...

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  2. If the vectors veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, v...

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  3. Let veca,vecb,vecc be three noncolanar vectors and vecp,vecq,vecr are ...

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  4. If vecA, vecB and vecC are three non - coplanar vectors, then (vecA.ve...

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  5. Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(1)hati+b(2)hatj+b(3)hatk an...

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  6. If non-zero vectors veca and vecb are perpendicular to each ot...

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  7. show that (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) if and only if veca a...

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  8. If veca,vecb, vecc and vecp,vecq,vecr are reciprocal system of vectors...

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  9. vecaxx(vecaxx(vecaxxvecb)) equals

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  10. If veca =hati + hatj, vecb = hati - hatj + hatk and vecc is a unit vec...

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  11. If veca,vecb and vecc are non coplanar and unit vectors such that veca...

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  12. Let a,b and c be distinct non-negative numbers. If the vectors ahati +...

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  13. If vecaxxvecb=vecc and vecbxxvecc=veca, show that veca,vecb,vecc are o...

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  14. Let veca , vecb and vecc be vectors forming right- hand triad . Let ve...

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  15. vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,vecanevec0,vecbnevec0,veca...

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  16. The vector veca coplanar with the vectors hati and hatj perendicular t...

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  17. If the vectors veca and vecb are mutually perpendicular, then veca xx ...

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  18. If veca, vecb, vecc are non-coplanar non-zero vectors, then (vecaxxv...

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  19. Let veca=hati-hatj, vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit ...

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  20. If the vectors (sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati...

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