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If the vectors ai + j + k , i + bj + k a...

If the vectors ai + j + k , i + bj + k and i + j + ck, where a, b, c `ne1`, are coplanar,
then : `1/(1-a)+1/(1-b)+1/(1-c)=…`

A

1

B

`-1`

C

2

D

none

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The correct Answer is:
A
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. Blank,

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  2. If |[a, b, c], [a^(2), b^(2), c^(2)], [a^(3)+1, b^(3)+1, c^(2)+1]|=0 a...

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  3. If the vectors ai + j + k , i + bj + k and i + j + ck, where a, b, c n...

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  4. Another form (1+a)/(1-a) + (1+b)/(1-b) + (1 +c)/(1-c) =

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  5. If the vectors ai +j + k , i-bj+k, i+j-ck are co-planar, then abc + 2 ...

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  6. If the vector ai+j+k,i+bj+k and i+j+ck are coplanar, then :

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

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  8. If veca , vecb , vec c are any three coplanar unit vectors , then :

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  9. If veca, vecb, vecc are three non-coplanar mutually perpendicular unit...

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  10. The vector vec(a) lies in the plane of vectors vec(b) and vec(c). Whi...

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  11. If a = i-j+k,b=i-2j-k and c=3i+pj+5k are coplanar, then p =

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  12. If l( b xx c) + m(c xxa) + n(a xx b) = 0 and at least one of l, m, n i...

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  13. The vectors (x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8) are coplanar f...

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  14. If the vectors, a,b,c are coplanar, then

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  15. Let veca = 2i + j+k, vecb = i+ 2j -k and a unit vector vecc be coplana...

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  16. IF (sec^2A)hati+hatj+hatk, hati+(sec^2 B)hatj+hatk and hati+hatj+(sec^...

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  17. A unit vector coplanar with i+j+2k and i+2j+k and perpendicular to i+j...

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  18. The vector r = a xx(b xxc) is

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  19. Given, two vectors are hati - hatj and hati + 2hatj, the unit vector c...

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  20. The unit vector which is orthogonal to a =3i+2j+6k and coplanar with b...

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