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If veca,vecb,vecc are linearly independe...

If `veca,vecb,vecc` are linearly independent vectors, then `((veca+2vecb)xx(2vecb+vecc).(5vecc+veca))/(veca.(vecbxxvecc))` is equal to

A

10

B

14

C

18

D

12

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. If veca=hati+hatj+hatk, vecb=hati+hatj,vecc=hati and (vecaxxvecb)xxvec...

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  2. If veca=2hati-3hatj+5hatk , vecb=3hati-4hatj+5hatk and vecc=5hati-3hat...

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  3. If veca,vecb,vecc are linearly independent vectors, then ((veca+2vecb)...

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  4. If veca,vecb are non-collinear vectors, then [(veca,vecb,hati)]hati+[...

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  5. If [(2veca+4vecb,vecc,vecd)]=lamda[(veca,vecc,vecd)]+mu[(vecb,vecc,vec...

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  6. If the volume of the tetrahedron whose vertices are (1,-6,10),(-1,-3,7...

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  7. (vecbxxvecc)xx(veccxxveca)=

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  8. When a right handed rectangular Cartesian system OXYZ rotated about z-...

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  9. Prove that vectors vecu=(al+a(1)l(1))hati+(am+a(1)m(1))hatj + (an+a(...

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  10. If vecax(vecaxxvecb)=vecbxx(vecbxxvecc) and veca.vecb!=0, and [(veca,v...

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  11. [(veca,vecb,axxvecb)]+(veca.vecb)^(2)=

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  12. Let vec(alpha),vec(beta) and vec(gamma be the unit vectors such that v...

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  13. If veca,vecb and vecc are unit coplanar vectors, then [(2veca-3vecb,...

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  14. If [(veca,vecb,vecc)]=3, then the volume (in cubic units) of the paral...

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  15. If V is the volume of the parallelopiped having three coterminous edge...

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  16. The unit vector veca and vecb are perpendicular, and the unit vector v...

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  17. If the vector vec(AB)=-3hati+4hatk and vec(AC)=5hati-lamdahatj+4hatk ...

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  18. Let veca and vecb be two mutually perpendicular unit vectors and vecc ...

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  19. Let the position vectors of vertices A,B,C of DeltaABC be respectively...

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  20. The position vector of a point P is vecr=xhati+yhatj+zhatk where x,y,z...

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