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Using vectors, find the area of the t...

Using vectors, find the area of the triangle with vertices A (1, 1, 2), B (2, 3, 5) and C (1, 5, 5).

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. A , B , Ca n dD are any four points in the space, then prove that | ...

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  2. Find the area of the parallelogram whose adjacent sides are determin...

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  3. Using vectors, find the area of the triangle with vertices A (1, 1,...

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  4. Let vec a , vec ba n d vec c be three verctors such that vec a!=0...

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  5. Find the area of a parallelogram whose diagonals are vec a=3 hat i+...

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  6. If vec a and vec b are unit vectors such that ( vec a+ vec b).[(2 ve...

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  7. If vec aa n d vec b are any two unit vectors, then find the greate...

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  8. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

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  9. Let vec u be a vector on rectangular coordinate system with slopin...

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  10. Two adjacent sides of a parallelogram A B C D are given by vec A B...

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  11. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equall...

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  12. Given three vectors vec a , vec b ,a n d vec c two of which are non-c...

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

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

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

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

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

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

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

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

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