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If the non-zero vectors veca and vecb ar...

If the non-zero vectors `veca and vecb` are perpendicular to each other, then the solution of the equation `vecr xx veca = vecb` is :

A

`vecr = vec(xa) + (1)/( veca.veca)(veca xx vecc)`

B

`vecr = vecxa + (1)/(veca.vecb) (vecaxx vecb)`

C

`vecr = vec(xr)xx vecb`

D

`vecr= vec(xb)xx veca.`

Text Solution

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The correct Answer is:
B
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MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. If veca, vecb, vecc are three non-coplanar vectors, then [veca+ vecb +...

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  2. The position vectors of the points A and B are veca and vecb respectiv...

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

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  4. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

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  5. If veca, vecb and vecc are unit coplanar vectors, then the scalar trip...

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  6. If veca = hati + hatj - hatk, vecb =- hati + 2 hatj + 2 hatk and vec c...

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  7. If veca,vecb,vecc are unit vectors, then : |veca -vecb|^(2)+|vecb -v...

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  8. If veca = ahti - ahtk, vecb = x hati + hatj + (1-x) hatk and vecc = y ...

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  9. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

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  10. If veca = 3 hati - 5 hatj and vecb = 6 hati + 3 hatj are two vectors ...

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  11. Let vecv = 2hati + 2hatj - hatk and vecw = hati + 3hatk. If vecu is a ...

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  12. If veca and vecb are two unit vectors such that veca + 2 vecb and 5 v...

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  13. If vecu, vecv and vecw are three non-coplanar vectors, then : (vecu ...

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  14. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

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  15. Let veca, vecb and vecc be three non-zero vectors such that no two of ...

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  16. Let veca, vecb, and vecc be three non-zero vectors such that no two of...

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  17. If veca = (hati +hat j + hatk), veca.vecb=1 and veca xx vecb=hatj-hatk...

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  18. If veca, vecb, cecc are non-coplanar vectors and lamda is a real numbe...

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  19. If hatu and hatv are unit vactors and theta is the angle between them,...

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  20. Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati...

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