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If the vectors (sec^(2)A)hati+hatj+hatk,...

If the vectors `(sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati+hatj+(sec^(2) c)hatk` are coplanar, then the value of `cosec^(2)A+cosec^(2)B+cosec^(2)C`, is

A

1

B

2

C

3

D

none of these

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B
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OBJECTIVE RD SHARMA-SCALAR AND VECTOR PRODUCTS OF THREE VECTORS -Exercise
  1. [((vecaxxvecb)xx(vecbxxvecc),(vecbxxvecc)xx(veccxxveca),(veccxxveca)xx...

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  2. Let veca=hati-hatj,vecb=hatj-hatk, vecc=hatk-hati. If hatd is a unit v...

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  3. If the vectors (sec^(2)A)hati+hatj+hatk, hati+(sec^(2)B)hatj+hatk,hati...

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  4. hata and hatb are two mutually perpendicular unit vectors. If the vect...

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  5. If three concurrent edges of a parallelopiped of volume V represent ve...

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  6. If veca=hati+hatj+hatk, vecb=hati+hatj,vecc=hati and (vecaxxvecb)xxvec...

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

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

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

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

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

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  12. (vecbxxvecc)xx(veccxxveca)=

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

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

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

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

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

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

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

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

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