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Vectors `aa n db` make an angle `theta=(2pi)/3dot` If `| vec a|=1,| vec b|=2,` then `{( vec a+3 vec b)xx(3 vec a- vec b)^2}` is equal to `225` b. `250` c. `275` d. 300

A

225

B

250

C

275

D

300

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The correct Answer is:
D
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MOTION-VECTOR -EXERCISE - 1
  1. Let vec a , vec ba n d vec c be three units vectors such that 2 vec a...

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  2. Let vec a = hati+hatj and vec b = 2 hat i - hat k. The point of inters...

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  3. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

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  4. Unit vector perpendicular to the plane of DeltaABC with position vecto...

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  5. If vec(b) and vec(c) are two non-collinear vectors such that vec(a)...

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  6. Find the vector of length 3 unit which is perpendicular to hat i+ ...

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  7. Given the vertices A(2,3,1), B(4,1,-2), C(6,3,7) and D(-5,-4,8) of a ...

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  8. For a non zero vector vec(A) . If the equations vec(A).vec(B) = vec...

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  9. If vecu and vecv are unit vectors and theta is the acute angle bet...

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  10. If vecu=veca-vecb,vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvecv...

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  11. If A(1,1,1),C(2,-1,2) the vector equation of the line vec(AB) is v...

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  12. The value of [(veca -2vecb-vecc)(veca-vecb)( veca-vecb-vecc)] is equal...

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  13. The volume of the parallelopiped constructed on the diagonals of the f...

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  14. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

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  15. Let overset(to)(a) =a(1) hat(i) + a(2) hat(j) + a(3) hat(k) , overse...

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  16. Vector vec x satisfying the relation vec A . vec x = c and vec B xx v...

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  17. If vec a , vec b ,a n d vec c be non-zero vectors such that no tow...

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  18. The pairs vec a,vec b and vec c,vec d each determines plane. Then the ...

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  19. Consider the vectors, vec(a),vec(b),vec(c),vec(d) such that (vec(a)xxv...

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  20. If veca,vecb,vecc are linearly independent vectors, then which one of ...

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