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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 )|=`…………..

A

`(1)/(2)`

B

1

C

2

D

0

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The correct Answer is:
B
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. The vector bar(a)=(x,y,z) makes an obtuse angle with y- axis. bar(b)=(...

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  2. The vectors bar(a) and bar(b) are unit vectors perpendicular to each o...

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  3. bar(a),bar(b) and bar( c ) are unit vectors. bar(a).bar(b)=0=bar(a).ba...

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  4. The modulus of the vectors bar(a) and bar(b) are 2 and 3 respectively....

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  5. For a vector bar(a),bar(a)xx vec( r )=bar(j) then bar(a).bar( r ) = ……...

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  6. If bar(mu)=bar(a)-bar(b),bar(v)=bar(a)+bar(b),|bar(a)|=|bar(b)|=2 then...

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  7. In a parallelogram ABCD, vec(AB)=hati+hatj+hatk and diagonal vec(AC)=h...

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  8. The points A(vec(a)),B(vec(b)) and C(vec( c )) are collinear then …………...

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

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

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

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

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

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

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

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

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

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

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

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

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