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Let veca, vecb and vecc be three non-zer...

Let `veca, vecb and vecc` be three non-zero vectors such that no two of these are collinear.If the vector `veca + 2 vecb` is collinear with `vecc and vecb +3 vecc` is collinear with `veca (lamda` being some non-zero scalar), then` veca + 2 vecb + 6 vecc` equals:

A

`lamda veca`

B

`lamda vecb`

C

`lamda vecc`

D

`vec0.`

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The correct Answer is:
D
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MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. If vecu, vecv and vecw are three non-coplanar vectors, then : (vecu ...

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

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

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

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

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

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

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

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  9. The vector veca = alpha hati + 2 hatj + beta hatk lies in the plance o...

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  10. The non-zero vectors veca, vecb and vecc are related by veca = 8 vecb ...

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  11. Let the vectors veca, vecb, vecc and vecd be such that (veca xx vecb) ...

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  12. The unit vector which is orthgonal to the vector veca=3hati+2hatj+6hat...

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  13. If veca, vecb, vecc are three non-zero, non-coplanar vectors and vec...

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  14. Let veca = hati + hatj + hatk, vecb = hati - ahtj + hatk and hati - ha...

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  15. The number of distinct real values of lamda, for which the vectors : ...

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  16. Let veca, vecb, vecc be unit vectors such that veca + vecb + vecc = v...

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  17. The edges of a parallelopiped are of unit length and are parallel to n...

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  18. Let two non-collinear unit vectors hata and hatb form an acute angle. ...

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  19. If vec u , vec nu, and vec w are non coplanar vectors and p,q are real...

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  20. If veca , vecb, vecc and vecd are unit vectors such that (veca xx vecb...

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