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Let a=2bari + barj-bark and barb = barI ...

Let `a=2bari + barj-bark` and `barb = barI +3bark`. If `barc` is a unit vectors such that `[bara barb barc]` is maximum, then `barc` is

A

`1/(sqrt14)(3bari+barj+2bark)`

B

`1/(sqrt6)(2bari+barj-bark)`

C

`1/(sqrt10)(bari+3bark)`

D

`1/(sqrt(59))(3bari-7barj-bark)`

Text Solution

Verified by Experts

The correct Answer is:
D
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AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. If baraxxbarr=barb+lamdabara, bara.barr=3, abs(bara)=1, barb.barr=

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  2. Let barb = 2bari + barj - bark, barc = bari + 3bark . If veca is a uni...

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  3. Let a=2bari + barj-bark and barb = barI +3bark. If barc is a unit vect...

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  4. Let bara=bari-barj,barb=barj-bark,barc=bark-bari. lf dis a unit vector...

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  5. A unit vector in the plane of the vectors 2bari +barj+bark, bari - bar...

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  6. The value of 'a' so that the volume of parallelopiped formed by bari +...

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  7. The volume of parallelopiped with edges bar(OA) = (lamda+ 2)bari +(l...

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  8. If bara, barb, barc are three non-coplanar vectors represented by conc...

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  9. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

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  10. If V is the volume of the parallelopiped having three coterminous edge...

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  11. The volume of the triangular pyramid with vertices A(2, 2, 2), B(4, 3,...

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  12. If bara, barb, barc are non-coplanar, nonzero vectors and barr is any ...

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  13. If bara,barb are non-zero and non-collinear vectors then [bara barb ba...

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  14. Let barr be a vector perpendicular to bara + barb + barc . If barr=l(b...

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  15. Let bara,barb are two unit vectors such that bara.barb=0. If barc=xbar...

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  16. If bara, barb, barc are non - coplanar vectors and lamda is a real num...

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  17. If bar(a), bar(b), bar(c) are non coplanar vectors and lambda is a rea...

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  18. If bara, barb, barc are three non-coplanar vectors, barp=(barbxxbarc...

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  19. If bar(a^(1)),bar(b^(1)),bar(c^(1)) represents the reciprocal system o...

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  20. Let bara ,barb,barc be non coplanar vectors and bara^(1)=(barbxxbarc)/...

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