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If the vectors ahati+hatj+hatk, hati+bha...

If the vectors `ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1, b!=1,c!=1)` are coplanar then the value of `1/(1-a)+1/(1-b)+1/(1-c)` is (A) 0 (B) 1 (C) -1 (D) 2

A

`-1`

B

`0`

C

`1`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If veca , vecb , vecc are three mutually perpendicular unit ve...

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  2. If vecr.veca=vecr.vecb=vecr.vecc=0 for some non-zero vectro vecr, then...

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  3. If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1,...

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  4. If hata, hatb, hatc are three units vectors such that hatb and hatc ar...

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  5. For any three vectors veca, vecb, vecc the vector (vecbxxvecc)xxveca e...

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  6. for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc...

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

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

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

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

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  11. 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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  12. If non-zero vectors veca and vecb are perpendicular to each ot...

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

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

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  15. vecaxx(vecaxx(vecaxxvecb)) equals

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

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

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

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

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

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