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

`bar( r )xx bar(a)=bar(b)xx bar(a),bar( r )xx bar(b)=bar(a)xx bar(b),bar(a) ne bar(0),bar(b) ne bar(0)bar(a)ne lambda bar(b)`. If `bar(a).bar(b)=0` then `bar( r )` = ………….

A

`bar(a)-bar(b)`

B

`bar(a)+bar(b)`

C

`bar(a)xx bar(b)+bar(a)`

D

`bar(a)xx bar(b)+bar(b)`

Text Solution

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The correct Answer is:
B
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bar(a)xx[bar(a)xx(bar(a)xx bar(b))] = …………….

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

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

If bar(x).bar(y)=bar(x).bar(z) ne 0 and bar(x)xx bar(y)=bar(x)xx bar(z)ne bar(0) and bar(x)ne bar(0) then …………..

If |bar(a)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a)= ……………

bar(d)=lambda(bar(a)xx bar(b))+mu(bar(b)xx bar( c ))+v(bar( c )xx bar(a)) and [bar(a)bar(b)bar( c )]=(1)/(8) then lambda+mu+v = …………..

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)|=2,|bar(b)|=4,|bar( c )|=1 and bar(a)+bar(b)=-bar( c ) then bar(a).bar(b)+bar(b).bar( c )+bar( c ).bar(a) = ……………

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

KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. A(-1, 2, 3), B(1, 1, 1) and C(2, -1, 3) are three points in the plane....

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

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  3. 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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  4. (bar(a)xx bar(b))^(2) = ……………..

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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