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Let veca = 2i + j+k, vecb = i+ 2j -k and...

Let `veca = 2i + j+k, vecb = i+ 2j -k and a` unit vector `vecc` be coplanar. If `vecc` is pependicular to `veca`. Then `vecc` is

A

`pm(1)/(sqrt(2))) (-j+k)`

B

`(1)/(sqrt(3)) (-i-j-k)`

C

`(1)/(sqrt(5)) (i-2j)`

D

`(1)/(sqrt(3)) (i-j-k)`

Text Solution

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

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

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

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

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

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

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

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  9. If a = (-1,1,1) and b = (2,0,1) then the vector r satisfying the condi...

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  10. If a, b, c are three unit vectors such that a xx (b xx c) = (1)/(2)b ...

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  11. If vec a , vec ba n d vec c are non-coplanar unit vectors such tha...

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  12. If a is perpendicular to b and c, then

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  13. If a vector veca is expressed as the sum of two vectors vec(alpha) and...

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  14. u = a xx (b xx c) + b xx ( c xx a) + c xx ( a xx b) , then

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  15. If u = i xx (a xx i), + j xx (a xx j) + k xx(a xx k), then

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  16. If a = i+j+k and b=i-j then the vectors (a.i)i+(a.j)j+(a.k)k, (b...

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  17. [abi]i+[abj]j+[abk]k is a equal to

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  18. The vector hati xx [(axxb) xx hati] + hatj xx [(axxb)xxhatj ] + hat...

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  19. If a xx b = c, b xx c= a and a,b,c be moduli of the vector a, b,c res...

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  20. Vector (b xx c) xx (c xx a) is a vector

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