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show that (vecaxxvecb)xxvecc=vecaxx(vecb...

show that `(vecaxxvecb)xxvecc=vecaxx(vecbxxvecc)` if and only if `veca and vecc` are collinear or `(vecaxxvecc)xxvecb=vec0`

A

`vecbxx(veccxxveca)=vec0`

B

`vecaxx(vecbxxvecc)=vec0`

C

`veccxxveca=vecaxxvecb`

D

`veccxxvecb=vecbxxveca`

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

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

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

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  5. vecaxx(vecaxx(vecaxxvecb)) equals

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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