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For any vecotr vec(a), The value of hati...

For any vecotr `vec(a)`, The value of `hati xx(vec(a)xx hati)+j xx(vec(a)xx vec(j))+hatk xx(vec(a)xx hatk)` is ………….

A

`2vec(a)`

B

`-2vec(a)`

C

`vec(a)`

D

`-vec(a)`

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The correct Answer is:
A
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Show that, (vec(a)-vec(b))xx(vec(a)+vec(b))=2(vec(a)xx vec(b)) .

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(vec(a)xx vec(b))xx vec( c )=vec(a)xx(vec(b)xx vec( c )) . If vec(a)*vec( c ) ……………

The vectors vec(a) and vec(b) are not perpendicular. The vectors vec( c ) and vec(d) are such that vec(b)xx vec( c )=vec(b)xx vec(d) and vec(a).vec(d)=0 then vec(d) = ……………

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. For any vector vec(a),(vec(a)xx vec(i))^(2)+(vec(a)xx hatj)^(2)+(vec(a...

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  2. vec(a),vec(b) and vec( c ) are three vector vec(a)ne0 and |vec(a)|=|ve...

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  3. For any vecotr vec(a), The value of hati xx(vec(a)xx hati)+j xx(vec(a)...

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  4. If (a(1),1,1),(1,a(2),1) and (1,1,a(3)) are coplaner (where a(i)ge1,i=...

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  5. If bar(x)=(1,-1,0),bar(y)=(0,1,3) and bar(z)=(2,1,1) then bar(x)xx (ba...

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  6. If [vec(a)xx vec(b),vec(b)xx vec( c ),vec( c )xx vec(a)]=lambda[vec(a)...

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

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

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  9. 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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  10. 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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  11. Let vec(a)=2hati+hatj-2hatk and vec(b)=hati+hatj. Let the vector vec( ...

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

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

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

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

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

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

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

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

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

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