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bar(a)=2hati+hatj-2hatk and bar(b)=hati+...

`bar(a)=2hati+hatj-2hatk` and `bar(b)=hati+hatj`. The vector `bar( c )` is such that `bar(a)*bar( c )=|bar( c )|,|bar( c )-bar(a)|=2sqrt(2)` and the angle between `bar(a)xx bar(b)` and `bar( c )` is `30^(@)` then `|(bar(a)xx bar(b))xx bar( c )|` = …………

A

`(2)/(3)`

B

`(3)/(2)`

C

2

D

3

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The correct Answer is:
B
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bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).bar( c ) and the angle between bar(b) and bar( c ) is (pi)/(3) . Then |bar(a)xx bar(b)-bar(a)xx bar( c )|= …………..

bar(a),bar(b) and bar( c ) are three unit vectors. bar(a)_|_bar(b) and bar(a)||bar( c ) then bar(a)xx(bar(b)xx bar( c )) = …………….

bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….

If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between bar(a) and bar(b) is ………………

(bar(a)xx bar(b))^(2) = ……………..

For three vectors bar(a),bar(b) and bar( c ),bar(a)xx(bar(b)xx bar( c ))=(bar(a)xx bar(b))xx bar( c ) then

[bar(a)xx bar(b)" "bar(a)xx bar( c )" "bar(d)] = …………….

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

If bar(a),bar(b),bar( c ) and bar(d) are coplanar vectors then (bar(a)xx bar(b))xx(bar( c )xx bar(d)) = …………..

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. The points A(vec(a)),B(vec(b)) and C(vec( c )) are collinear then …………...

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  2. For any vectors vec(a),vec(b) and vec( c ). Out of the following, whic...

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  3. bar(a)=2hati+hatj-2hatk and bar(b)=hati+hatj. The vector bar( c ) is s...

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  4. In a quadrilateral ABCD, vec(AB)=vec(b),vec(AD)=vec(d) and vec(AC)=m v...

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  5. If vec(a)=2hati+hatj+x hatk and vec(b)=hati+hatj-hatk then the minimum...

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  6. If vec(a).hati=4 then (vec(a)xx hatj).(2hatj-3hatk)= ………..

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  7. vec(a),vec(b) and vec( c ) are unit vectors vec(a)xx(vec(b)xx vec( c )...

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  8. If vec(u)=hati xx(vec(a)xx hati)+hatj xx(vec(a)xx hatj)+hatk xx(vec(a)...

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  9. For the vectors vec(x) and vec(y),vec(x)+vec(y)=vec(a),vec(x)xx vec(y)...

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  10. Vector vec(a)=hati-hatj,vec(b)=hati+hatj+hatk. The vector vec( c ) is ...

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  11. The vectors vec(a) and vec(b) are not perpendicular. The vectors vec( ...

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  12. vec(a)=hatj-hatk and vec( c )=hati-hatj-hatk. The vector vec(b) is suc...

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  13. For any vector vec(a),(vec(a)xx vec(i))^(2)+(vec(a)xx hatj)^(2)+(vec(a...

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

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

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  16. 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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  17. 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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  18. If [vec(a)xx vec(b),vec(b)xx vec( c ),vec( c )xx vec(a)]=lambda[vec(a)...

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

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

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