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The value of x for which the angle betwe...

The value of x for which the angle between `veca=2x^(2)hati+4xhatj + hatkand vecb=7hati-2hatj+hatk` is obtuse and the angle between `vecb` and the z-axis is acute and less then `pi//6`

A

`0 lt x lt 1/2`

B

`x gt 1/2`or `x lt 0`

C

`1/2 lt x lt 15`

D

No such value for x.

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Verified by Experts

The correct Answer is:
D
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VMC MODULES ENGLISH-VECTORS -LEVEL -1
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  2. Let veca, vecb and vecc be three units vectors such that 3veca + 4vecb...

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  4. Given three vectors veca=6hati-3hatj,vecb=2hati-6hatj and vecc=-2hati+...

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  5. If vecalpha+ vecbeta+ vecgamma=a vecdeltaa n d vecbeta+ vecgamma+ vec...

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  6. If unit vector vecc makes an angle pi/3 with hati + hatj, then minimum...

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  7. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecb xx vecc...

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  8. For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc| = |v...

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  9. If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc...

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  10. If veca,vecb, vecc are unit coplanar vectors then the scalar triple pr...

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  11. veca, vecb,vecc are non-coplanar vectors and vecp,vecq,vecr are define...

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  12. If |veca|=3, |vecb|=1, |vecc|=4 and veca + vecb + vecc= vec0, find the...

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  13. Let vecb= 4 hati + 3hatj and vecc be two vectors perpendicular to each...

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  14. If vecd=lambda(vecaxxvecb)+mu(vecbxxvecc)+t(veccxxveca).[veca,vecbvecc...

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  15. Let vecb and vecc be non-collinear vectors. If veca is a vector such t...

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  16. Let O be the centre of a regular pentagon ABCDE and vec(OA) = veca, th...

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  17. A vector veca=(x,y,z) makes an obtuse angle with F-axis, and make equa...

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  18. Given a parallelogram ABCD. If |AB|=a, |AD|=b, |AC|=c, then DB*AB has ...

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  19. A, B C and D are four points in a plane with position vectors, veca, v...

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  20. vecx and vecy are two mutually perpendicular unit vectors. If the vect...

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