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(bar(a)xx bar(b))^(2) = …………….....

`(bar(a)xx bar(b))^(2)` = ……………..

A

`|{:(bar(a).bar(b),bar(a).bar(a)),(bar(b).bar(b),bar(b).bar(a)):}|`

B

`|{:(bar(a).bar(a),bar(a).bar(b)),(bar(b).bar(a),bar(b).bar(b)):}|`

C

`|{:(bar(a),bar(b)),(bar(b),bar(a)):}|`

D

None of these

Text Solution

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The correct Answer is:
B
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For any vector bar(a) , the value of (bar(a)xx i)^(2)+(bar(a)xx j)^(2)+(bar(a)xx bar(k))^(2) is ………..

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

The value of the expression |bar(a)xx bar(b)|^(2)+(bar(a).bar(b))^(2) is …………..

The vectors bar(a) and bar(b) are perpendicular then bar(a)xx{bar(a)xx{bar(a)xx(bar(a)xx bar(b))}} = ………….

bar(b)=3hatj+4hatk,bar(a)=hati+hatj . If bar(b_(1)) and bar(b_(2)) are component of bar(b) and bar(b_(1))=(3)/(2)hati+(3)/(2)hatj,bar(b_(2)) is perpendicualr to bar(a) then bar(b_(2)) = ………………..

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 )) = …………….

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)) = …………..

If bar( r ).bar(a)=0,bar( r ).bar(b)=0 and bar( r ).bar( c )=0 for some non-zero vector bar( r ) , then the value of bar(a).(bar(b)xx bar( c )) is ……………..

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If |bar(a).bar(b)|=3 and |bar(a)xx bar(b)|=4 then the angle between ba...

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  2. bar( r )xx bar(a)=bar(b)xx bar(a),bar( r )xx bar(b)=bar(a)xx bar(b),ba...

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  3. (bar(a)xx bar(b))^(2) = ……………..

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  4. |bar(a)|=2,|bar(b)|=3 and bar(a) and bar(b) are perpendicular to each ...

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  5. bar(a)=hati+hatj+hatk,bar(b)=hati+3hatj+5hatk and bar( c )=7hati+9hatj...

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  6. In DeltaABC, the bisector of angleA is bar(AD). bar(AD)=alpha bar(AB...

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  7. The vector bar(a)=(x,y,z) makes an obtuse angle with y- axis. bar(b)=(...

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

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

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

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

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

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

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

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

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

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

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

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

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

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