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If the vectors vecr(1)=ahati+hatj+hatk, ...

If the vectors `vecr_(1)=ahati+hatj+hatk, vecr_(2)=hati+bhatj+hatk, vecr_(3)=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

`-1`

B

`0`

C

`1`

D

none of these

Text Solution

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

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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 vecr(1)=ahati+hatj+hatk, vecr(2)=hati+bhatj+hatk, vecr(...

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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 these vectors veca,vecb, vecc the expression (veca-vecb).{(vec...

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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 non-coplanar vectors and vecp,vecq,vecr ...

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  10. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecbxxvecc))...

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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 a...

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  12. If the non zero vectors veca and vecb are perpendicular to each other,...

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  13. Prove that: [(vecaxxvecb)xx(vecaxxvecc)].vecd=pveca vecb vecc](veca.ve...

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  14. If (vecaxxvecb)xxvecc=vecaxx(vecbxxvecc) then

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

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  16. vecaxx(vecaxx(vecaxxvecb)) equals

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

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

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

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

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