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The value of a so that the volume of the...

The value of `a` so that the volume of the paralelopiped formed by `hati+ahatj+hatk, hatj+ahatk `and `ahati+hatk` becomes minimum is

A

`(1)/(sqrt3)`

B

`-(1)/(sqrt3)`

C

`+-(1)/(sqrt3)`

D

none

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The correct Answer is:
D
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MOTION-VECTOR -EXERCISE - 4 ( LEVEL-II)
  1. If veca and vecb are two unit vectors such that veca+2vecb and 5veca-4...

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  2. Let vecV=2hati+hatj-hatk and vecW=hati+3hatk. It vecU is a unit vector...

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  3. The value of a so that the volume of the paralelopiped formed by hati+...

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  4. A unit vector int eh plane of the vectors 2hati+hatj+hatk, hati-hatj+h...

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  5. If veca=veci+vecj+veck, veca.vecb=1 and vecaxxvecb=vecj-veck, then vec...

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  6. If veca,vecb,vecc,vecd are four distinct vectors satisfying the condit...

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  7. Let veca=hati + 2hatj +hatk, vecb=hati - hatj +hatk andvecc= hathatj-h...

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  8. Let vecA be a vector parallel to the of intersection of planes P1 and ...

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  9. The number of distinct values of lamda, for which the vectors -lamda^(...

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  10. Let veca, vecb ,vecc be unit vetors such that veca + vecb + vecc = ve...

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  11. Assertion: vec(PQ)xx(vec(RS)+vec(ST))!=0, Reason : vec(PQ)xxvec(RS)=ve...

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

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  13. Lelt two non collinear unit vectors hata and hatb form and acute angle...

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  14. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb).(ve...

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  15. Let P, Q, R and S be the points on the plane with position vectors -2h...

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  16. If veca and vecb are vectors in space given by veca=(hati-23hatj)/(sqr...

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  17. Let veca=hati + hatj +hatk,vecb=hati- hatj + hatk and vecc= hati-hatj...

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  18. The vectors which is/are coplanar with vectors hati+hatj+2hatk and hat...

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  19. Let veca=-hati-hatk, vecb=-hati+hatj and vecc=hati+2hatj+3hatk be th...

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  20. Let bar(PR)=3hati+hatj-2hatk and bar(SQ)=hati-3hatj-4hatk determine d...

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