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Let `vec(a),vec(b)` and `vec( c )` are three unit vectors such that `vec(a)xx(vec(b)xx vec( c ))=(sqrt(3))/(2)(vec(b)+vec( c ))`. If the vectors `vec(b)` and `vec( c )` are not parallel then the angle between `vec(a)` and `vec(b)` is ……….

A

`(3pi)/(4)`

B

`(pi)/(2)`

C

`(2pi)/(3)`

D

`(5pi)/(6)`

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The correct Answer is:
D
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If [vec(a)xx vec(b),vec(b)xx vec( c ),vec( c )xx vec(a)]=lambda[vec(a)...

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  2. The volume of a parallelepiped with edges vec(OA)=(3,1.4),vec(OB)=(1,2...

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  3. Let vec(a),vec(b) and vec( c ) are three unit vectors such that vec(a)...

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  4. If |bar(a)|=1 and bar(a)xx bar(b)=(1,2,3) then bar(a)xx[bar(a)xx(bar(a...

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  5. If bar(x)xx(bar(y)xx bar(z))=(bar(x)xx bar(y))xx bar(z) then bar(y)xx(...

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  6. Let vec(a)=2hati+hatj-2hatk and vec(b)=hati+hatj. Let the vector vec( ...

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  7. If the unit bar(a),bar(b) and bar( c ) are coplanar then …………..

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  8. If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+b...

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  9. If the vectors 3hati-2hatj-hatk,2hati-3hatj-4hatk,-hati+hatj+2hatk and...

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  10. If the unit vectors bar(a),bar(b) and bar( c ) are coplanar then [2ba...

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  11. vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk...

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  12. bar(a),bar(b) and bar( c ) are non zero vectors. |(bar(a)xx bar(b))*...

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  13. bar(d)=lambda(bar(a)xx bar(b))+mu(bar(b)xx bar( c ))+v(bar( c )xx bar(...

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  14. The volume of the tetrahedron whose vertices hati-6hatj+10hatk,-hati-3...

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  15. bar(a),bar(b) and bar( c ) are three non zero, non planar vectors. bar...

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  16. bar(a)=(1,2,-3),bar(b)=(2,1,-1). The vector bar(mu) is such that bar(a...

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  17. bar(a)=a(1)hati+a(2)hatj+a(3)hatk,bar(b)=b(1)hati+b(2)hatj+b(3)hatk,ba...

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  18. The adjacent sides of the parallelogram are bar(a)=3bar(alpha)-bar(bet...

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  19. bar(alpha)=2hati+3hatj-hatk,bar(beta)=-hati+2hatj-4hatk and bar(gamma)...

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  20. If bar(mu)=hati xx(bar(a)xx hati)+hatj xx(bar(a)xx hatj))+hatk xx(bar(...

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