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If the vectors veca=hati+ahatj+a^(2)hatk...

If the vectors `veca=hati+ahatj+a^(2)hatk, vecb=hati+bhatj+b^(2)hatk, vecc=hati+chatj+c^(2)hatk` are three non-coplanar vectors and `|(a, a^(2), 1+a^(3)),(b,b^(2),1+b^(3)),(c,c^(2),1+c^(3))|=0` , then the value of `abc` is

A

0

B

1

C

2

D

`-1`

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D
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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

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  2. For any vectors vecr the value of hatixx(vecrxxhati)+hatjxx(vecrxxha...

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

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

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

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

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

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

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  10. vecaxx(vecaxx(vecaxxvecb)) equals

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

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

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

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

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

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

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

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

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

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

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