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Let vec(a)=2hati+hatj-2hatk and vec(b)=h...

Let `vec(a)=2hati+hatj-2hatk` and `vec(b)=hati+hatj`. Let the vector `vec( c )` is such that `|vec( c )-vec(a)|=3,|(vec(a)xx vec(b))xx vec( c )|=3`. The angle between `vec( c )` and `vec(a)xx vec(b)` is `30^(@)`. Then `vec(a).vec( c )` = ……………

A

`(1)/(8)`

B

`(25)/(8)`

C

2

D

5

Text Solution

Verified by Experts

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(a)|=1 and bar(a)xx bar(b)=(1,2,3) then bar(a)xx[bar(a)xx(bar(a...

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  2. If bar(x)xx(bar(y)xx bar(z))=(bar(x)xx bar(y))xx bar(z) then bar(y)xx(...

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  3. Let vec(a)=2hati+hatj-2hatk and vec(b)=hati+hatj. Let the vector vec( ...

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  4. If the unit bar(a),bar(b) and bar( c ) are coplanar then …………..

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  5. If bar(a),bar(b) and bar( c ) are not coplanar then (bar(a)+bar(b)+b...

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  6. If the vectors 3hati-2hatj-hatk,2hati-3hatj-4hatk,-hati+hatj+2hatk and...

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  7. If the unit vectors bar(a),bar(b) and bar( c ) are coplanar then [2ba...

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  8. vec(a)=2hati-hatj+hatk,vec(b)=hati+2hatj-hatk,vec( c )=hati+hatj-2hatk...

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  9. bar(a),bar(b) and bar( c ) are non zero vectors. |(bar(a)xx bar(b))*...

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  10. bar(d)=lambda(bar(a)xx bar(b))+mu(bar(b)xx bar( c ))+v(bar( c )xx bar(...

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  11. The volume of the tetrahedron whose vertices hati-6hatj+10hatk,-hati-3...

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  12. bar(a),bar(b) and bar( c ) are three non zero, non planar vectors. bar...

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  13. bar(a)=(1,2,-3),bar(b)=(2,1,-1). The vector bar(mu) is such that bar(a...

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

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

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

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

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

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

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