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Given two vectors vec a=- hat i+2 hat j...

Given two vectors ` vec a=- hat i+2 hat j+2 hat ka n d vec b=-2 hat i+ hat j+2 hat kdot` Column I, Column II A vector coplanar with ` vec aa n d vec b` , p. `-3 hat i+3 hat j+4 hat k` A vector which is perpendicular to both ` vec aa n d vec b` , q. `2 hat i-2 hat j+3 hat k` A vector which is equally inclined to ` vec aa n d vec b` , r. ` hat i+ hat j` A vector which forms a triangle with ` vec aa n d vec b` , s. ` hat i- hat j+5 hat k`

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CENGAGE ENGLISH-VECTOR ALGEBRA-All Questions
  1. If aa n db are nonzero non-collinear vectors, then [ vec a vec b hat...

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  2. ( vec a+ vec b)dot( vec b+ vec c)xx( vec a+ vec b+ vec c)= [ vec a\ ...

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  3. A vector of magnitude 10 along the normal to the curve 3x^2+8x y+2y^2-...

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  4. If a( vecalphaxx vecbeta)+b( vecbetaxx vecgamma)+c( vecgammaxx vecalph...

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  5. If ( vec axx vec b)xx( vec bxx vec c)= vec b ,w h e r e vec a , vec b ...

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  6. If vec a , vec b , vec c are any three noncoplanar vector, then ( ...

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  7. If vec x+ vec cxx vec y= vec aa n d vec y+ vec cxx vec x= vec b ,w h ...

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  8. If vec aa n d vec b are two unit vectors incline at angle pi//3 , ...

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  9. If vec a and vec b are orthogonal unit vectors, then for a vector ...

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  10. Let V be the volume of the parallelepiped formed by the vectors vec a ...

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  11. Find 3-dimensional vectors vec v1,vec v2,vec v3 satisfying vec v1* ve...

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  12. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

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  13. For any two vectors vec ua n d vec v prove that ( vec u. vec v)^2+| ...

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  14. If the incident ray on a surface is along the unit vector vec v, the r...

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  15. P1n dP2 are planes passing through origin L1a n dL2 are two lines o...

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  16. If vec a , vec b , vec ca n d vec d are distinct vectors such that ...

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  17. Given two vectors vec a=- hat i+2 hat j+2 hat ka n d vec b=-2 hat i+ ...

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  18. Let vec V=2 hat i+ hat j- hat ka n d vec W= hat i+3 hat kdot If vec ...

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  19. If the vectors vec a, vec b, vec c are non-coplanar and l,m,n are dist...

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  20. If vec a , vec ba n d vec c are unit coplanar vectors, then the sc...

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