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The adjacent sides of the parallelogram ...

The adjacent sides of the parallelogram are `bar(a)=3bar(alpha)-bar(beta),bar(b)=bar(alpha)+3bar(beta),|bar(alpha)|=|bar(beta)|=2`. The angle `bar(alpha)` and `bar(beta)` is `(pi)/(3)`. The length of any one of the diagonal of a parallelogram is …………..

A

`4sqrt(7)`

B

`4sqrt(5)`

C

`3sqrt(7)`

D

`3sqrt(5)`

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KUMAR PRAKASHAN-VECTOR ALGEBRA -Solutions of NCERT Exemplar Problems (Multiple Choice Questions (MCQs) )
  1. bar(a)=(1,2,-3),bar(b)=(2,1,-1). The vector bar(mu) is such that bar(a...

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  2. bar(a)=a(1)hati+a(2)hatj+a(3)hatk,bar(b)=b(1)hati+b(2)hatj+b(3)hatk,ba...

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  3. The adjacent sides of the parallelogram are bar(a)=3bar(alpha)-bar(bet...

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  4. bar(alpha)=2hati+3hatj-hatk,bar(beta)=-hati+2hatj-4hatk and bar(gamma)...

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  5. If bar(mu)=hati xx(bar(a)xx hati)+hatj xx(bar(a)xx hatj))+hatk xx(bar(...

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  6. bar(a),bar(b) and bar( c ) are three unit vectors. bar(a)|bar(b) and b...

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

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  8. The vectors bar(a) and bar(b) are perpendicular then bar(a)xx{bar(a)xx...

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  9. If bar(a),bar(b),bar( c ) and bar(d) are coplanar vectors then (bar(a)...

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

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  11. For three vectors bar(a),bar(b) and bar( c ),bar(a)xx(bar(b)xx bar( c ...

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  12. If bar(a)=hati+hatj+hatk,bar(b)=hati+hatj,bar( c )=hati and (bar(a)xx ...

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

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  14. If (bar(a)xx bar(b))xx(bar(b)xx bar( c ))=bar(b), where bar(a),bar(b),...

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  15. If bar(a),bar( c ) and bar(d) are not coplanar vectors and bar(d).(bar...

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  16. If 4bar(a)+5bar(b)+9bar( c )=0 then (bar(a)xx bar(b))xx[(bar(b)xx bar(...

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  17. vec(a),vec(b) and vec( c ) are non zero vectors. (vec(a)xx vec(b))xx v...

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  18. If vec(a) is a unit vector and vec(b)=(2,1,-1) and vec( c )=(1,0,3). T...

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  19. The volume of the parallelepiped with edges -12hati+alpha hatk,3hatj-h...

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

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