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[ veca + vecb vecb + vecc vec...

`[ veca + vecb vecb + vecc vecc + veca ]=[ veca vecb vecc ]`, then

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Prove that [ veca+ vecb , vecb+ vecc , vecc+ veca]=2[ veca , vecb , vecc] .

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If c is a given non-zero scalar, and vec A and vec(B) are given ...

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

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  3. [ veca + vecb vecb + vecc vecc + veca ]=[ veca vecb ...

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

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

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

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

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

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  9. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

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

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

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  12. Let vec a , vec ba n d vec c be three non-coplanar vecrors and ve...

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

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

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

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  17. If vec d= vec axx vec b+ vec bxx vec c+ vec cxx vec a is non-zero vec...

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  18. The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...

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  19. Let vec a=- hat i- hat k , vec b=- hat i+ hat ja n d vec c= hat i+2 h...

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  20. Let vec a , vec b ,a n d vec c be vectors forming right-hand traid. L...

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