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Find the value of a so that the volume o...

Find the value of `a` so that the volume of the parallelepiped formed by vectors ` hat i+a hat j+k , hat j+a hat k and a hat i+ hat k` becomes minimum.

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
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  2. Given three vectors vec a , vec b ,a n d vec c two of which are non-c...

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  3. Find the value of a so that the volume of the parallelepiped formed ...

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  4. A1,A2,..., An are the vertices of a regular plane polygon with n sides...

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  5. If c is a given non-zero scalar, and vec A and vec(B) are given ...

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  6. A , B , Ca n dD are any four points in the space, then prove that | ...

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  7. If a ,ba n dc are three non-cop0lanar vector, non-zero vectors then ...

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  8. Let vec A=2 vec i+ vec k , vec B= vec i+ vec j+ vec kdot vec C = 4hat...

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  9. Determine the value of c so that for all real x , vectors c x hat i-6 ...

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  10. If vec r=x1( vec axx vec b)+x2( vec bxx vec c)+x3( vec cxx vec a) and...

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  11. [( vec axx vec b)xx( vec bxx vec c)( vec bxx vec c)xx( vec cxx vec a)(...

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  12. If V be the volume of a tetrahedron and V ' be the volume of another...

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  13. vec a , vec ba n d vec c are three non-coplanar ,non-zero vectors an...

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  14. A(veca),B(vecb),C(vecc) are the vertices of the triangle ABC and R(vec...

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  15. Let vec a , vec ba n d vec c be three non-coplanar vectors and v...

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  16. vec a , vec ba n d vec c are three non-coplanar ,non-zero vectors an...

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  17. The position vectors of point A ,B ,a n dC are hat i+ hat j+ hat k...

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  18. Let vec a(x)=(sin x) hat i+(cosx) hat j a n d vec b(x)=(cos2x) hat i+...

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  19. If vec a=2 hat i+ hat j+ hat k , vec b= hat i+2 hat j+2 hat k , vec c=...

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  20. If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...

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