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If bar(a)=(2,0,1) and bar(b)=(1,1,1) the...

If `bar(a)=(2,0,1)` and `bar(b)=(1,1,1)` then `sin(bar(a)""_(,)^(hat)bar(b))= …………..`

A

`sqrt((3)/(5))`

B

`sqrt((5)/(3))`

C

`sqrt((2)/(5))`

D

`sqrt((5)/(2))`

Text Solution

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The correct Answer is:
C
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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. If bar(x) and bar(y) are non zero, non collinear vector then the numbe...

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  2. If |bar(x).bar(y)|=cos alpha, then |bar(x)xx bar(y)| = …………….

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  3. If bar(a)=(2,0,1) and bar(b)=(1,1,1) then sin(bar(a)""(,)^(hat)bar(b))...

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  4. The unit vector perpendicular to both the vectors (3, -1, 0) and (-2, ...

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  5. The area of the parallelogram with diagonals hati+hatj and hatj+hatk i...

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  6. The angle between the vectors (2,-1,1) and (1,-1,2) is ……………

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  7. If |bar(x)|=7.|bar(y)|=sqrt(2),bar(x)xx bar(y)=(6,2,3) then |bar(x).ba...

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  8. The unit vector perpendicualr to both the vectors hati+2hatj-2hatk and...

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  9. A(-1, 2, 3), B(1, 1, 1) and C(2, -1, 3) are three points in the plane....

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

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  11. 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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  12. (bar(a)xx bar(b))^(2) = ……………..

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

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

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

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

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

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

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

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

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