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Given the vectors ` vec A , vec B ,a n d vec C` form a triangle such that ` vec A= vec B+ vec Cdot` find `a ,b ,c ,a n dd` such that the area of the triangle is `5sqrt6` where ` vec A=a hat i+b hat j+c hat k` ` vec B=d hat i+3 hat j+4 hat k` ` vec C=3 hat i+ hat j-2 hat k`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vece(1),vece(2),vece(3)and vecE(1),vecE(2),vecE(3) are two sets of ...

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  2. Find the angle between the vectors vec a= hat i+hat j-hat k and vec b=...

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  3. Given the vectors vec A , vec B ,a n d vec C form a triangle such tha...

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  4. If vec a , vec ba n d vec c are three mutually perpendicular vecto...

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  5. Let a three dimensional vector vec V satisfy the condition, 2 vec ...

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  6. If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and ...

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  7. Let vec O A= vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

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  8. If vec a , vec b , vec c are unit vectors such that vec a. vec b=0= ...

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  9. If vec x , vec y are two non-zero and non-collinear vectors satisfy...

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  10. Let vec a=alpha hat i+2 hat j-3 hat k , vec b=alpha hat i+2alpha hat ...

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  11. Let vec a , vec b a n d vec c be three vectors having magnitudes 1...

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  12. Two vectors in space are equal only if they have equal component in ...

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  13. Let vec a= hat i- hat j , vec b= hat j- hat ka n d vec c= hat k- hat ...

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  14. If vectors vec aa n d vec b are two adjacent sides of a parallelogr...

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  15. If vec axx( vec bxx vec c) is perpendicular to ( vec axx vec b)xx vec...

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  16. [(vecaxxvecb) (veccxxvecd) (vecexxvecf)]is equal to (a)[vecavecbvec...

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  17. vec a, vec ba n d vec c are non-collinear if vec axx( vec bxx vec c)+...

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  18. If veca and vecb are unit vectors, then angle between veca ...

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  19. If vec a| vec b , then vector vec v in terms of vec aa n d vec b sa...

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  20. If vec a^'= hat i+ hat j , vec b^'= hat i- hat j+2 hat k and vec c^' ...

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