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Let vec P R=3 hat i+ hat j-2 hat ka n d...

Let ` vec P R=3 hat i+ hat j-2 hat ka n d vec S Q= hat i-3 hat j-4 hat k` determine diagonals of a parallelogram `P Q R S ,a n d vec P T= hat i+2 hat j+3 hat k` be another vector. Then the volume of the parallelepiped determine by the vectors ` vec P T` , ` vec P Q` and ` vec P S` is `5` b. `20` c. `10` d. `30`

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CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Let vec a , vec b ,a n d vec c be non-zero vectors and vec V1= vec a...

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  2. Let vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j= hat ka n d ve...

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  3. Let vec P R=3 hat i+ hat j-2 hat ka n d vec S Q= hat i-3 hat j-4 hat ...

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  4. If in a right-angled triangle A B C , the hypotenuse A B=p ,then ...

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  5. If vec a=( hat i+ hat j+ hat k), vec a. vec b=1a n d vec axx vec b= h...

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  6. If veca satisfies vec axx( hat i+2 hat j+ hat k)= hat i- hat k , then...

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  7. If vec r . vec a= vec r . vec b= vec r . vec c=0,w h e r e vec a , ve...

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  8. The unit vector orthogonal to vector -hat i+ hat j+2 hat k and maki...

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  9. Vectors 3 vec a-5 vec b and 2 vec a+ vec b are mutually perpendicular....

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

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  11. The value of x for which the angle between vec a=2x^2 hat i+4x hat ...

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  12. Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and th...

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  13. A parallelogram is constructed on 3 vec a+ vec ba n d vec a-4 vec b...

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  14. Let the position vectors of the points Pa n dQ be 4 hat i+ hat j+lam...

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  15. If a \ "a n d" \ c are unit vectors and |b|=4 . The angle between a ...

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

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  17. If vec a+2 vec b+3 vec c=0,t h e n vec axx vec b+ vec bxx vec c+ vec ...

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  18. If vec a \ a n d \ vec b are two non-collinear unit vector, and ...

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  19. The angles of triangle, two of whose sides are represented by vector...

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  20. vec a , vec b ,a n d vec c are unimodular and coplanar. A unit vector...

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