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If non-zero vectors veca and vecb ...

If non-zero vectors `veca and vecb` are perpendicular to each other, then the solution of the equation `vecr × veca = vecb` is given by

A

`vecr=x veca+(vecaxxvecb)/(|veca|^(2))`

B

`vecr=xvecb-(vecaxxvecb)/(|vecb|^(2))`

C

`vecr=x(vecaxxvecb)`

D

`vecr=x(vecbxxveca)`

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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If vecA, vecB and vecC are three non - coplanar vectors, then (vecA.ve...

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

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

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

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  6. vecaxx(vecaxx(vecaxxvecb)) equals

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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