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If veca,vecb, vecc and vecp,vecq,vecr ar...

If `veca,vecb, vecc` and `vecp,vecq,vecr` are reciprocal system of vectors, then `veca xx vecp + vecb xx vecq + vecc xx vecr` equals:

A

`[(veca, vecb, vecc)]`

B

`(vecp+vecq+vecr)`

C

`vec0`

D

`veca+vecb+vecc`

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C
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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If non-zero vectors veca and vecb are perpendicular to each ot...

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

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

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  4. vecaxx(vecaxx(vecaxxvecb)) equals

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

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

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

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

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

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

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

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

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

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

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

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  16. x and y are two mutually perpendicular unit vector, if the vectors aha...

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  17. The three concurrent edges of a parallelopiped represent the vectors ...

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  18. If a=hati+hatj+hatk,b=hati+hatj,c=hati and (axxb)xxc=lamda a+mub, then...

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  19. If veca=2hati-3hatj+5hatk , vecb=3hati-4hatj+5hatk and vecc=5hati-3hat...

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  20. If veca,vecb,vecc are linearly independent vectors, then ((veca+2vecb)...

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