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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
  1. If the vectors 2 hat i-3 hat j , hat i+ hat j- hat ka n d3 hat i- hat ...

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  2. If vec u , vec v and vec w are three non-coplanar vectors, then pro...

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

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  4. If vec a=2 hat i+3 hat j-5 hat k , vec b=m hat i+n hat j+12 hat k and...

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  5. Prove that [ vec l vec m vec n][ vec a vec b vec c]=| (vec l. vec a, v...

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  6. Find the altitude of a parallelopiped whose three coterminous edges ...

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  7. If veca and vecb are two vectors such that |veca|=2,|vecb|=3 and veca....

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  8. Prove that vec R+([ vec Rdot( vecbetaxx( vecbetaxx vecalpha))] vecalp...

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  9. If vec a , vec b ,and vec c are non-coplanar unit vectors such that...

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  10. If | vec a|=5,| vec a- vec b|=8 and | vec a+ vec b|=10 , then find | v...

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  11. If vec a and vec b are two given vectors and k is any scalar, then fi...

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

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  13. If vector vec x satisfying vec x xx vec a+( vec x . vec b) vec c= ve...

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  14. Let hat a , hat b ,and hat c be the non-coplanar unit vectors. The...

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

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  16. If vec b is not perpendicular to vec c , then find the vector vec r...

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  17. If vec a , vec ba n d vec c are three non coplanar vectors, then ( ...

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  18. Let vec a , vec b and vec c be three non-zero vectors such that ve...

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  19. Prove that ( vec a.hat i)( vec axx hat i)+( vec a.j)( vec axx hat j)+(...

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  20. If ( vec axx vec b)^2+( vec a.vec b)^2=144 and | vec a|=4, then find t...

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