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If veca, vecb, vecc are non-coplanar uni...

If `veca, vecb, vecc` are non-coplanar unit vectors such that `vecaxx(vecbxxvecc)=(vecb+vecc)/(sqrt(2))` then the angle between `veca` and `vecb` is

A

`3pi//4`

B

`pi//4`

C

`pi//2`

D

`pi`

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The correct Answer is:
A

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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. vecaxx(vecaxx(vecaxxvecb)) equals

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

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  3. If veca, vecb, vecc are non-coplanar unit vectors such that vecaxx(vec...

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

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  5. If vecaxxvecb=vecc and vecbxxvecc=veca then a. veca,vecb,vecc are ort...

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  6. If vecp=(vecbxxvecc)/([(veca,vecb,vecc)]),vecq=(veccxxveca)/([(veca,ve...

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  7. If vecrxxveca=vecbxxveca,vecrxxvecb=vecaxxvecb,veca!=0,vecb!=0,veca!=l...

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

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  9. If the vectors veca and vecb are mutually perpendicular, then vecaxx{v...

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  10. [((vecaxxvecb)xx(vecbxxvecc),(vecbxxvecc)xx(veccxxveca),(veccxxveca)xx...

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

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

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  13. hata and hatb are two mutually perpendicular unit vectors. If the vect...

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  14. If three concurrent edges of a parallelopiped of volume V represent ve...

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  15. If veca=hati+hatj+hatk, vecb=hati+hatj,vecc=hati and (vecaxxvecb)xxvec...

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

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

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  18. If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[...

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  19. If [(2veca+4vecb,vecc,vecd)]=lamda[(veca,vecc,vecd)]+mu[(vecb,vecc,vec...

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  20. If the volume of the tetrahedron whose vertices are (1,-6,10),(-1,-3,7...

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