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If veca= hati +hatj, vecb= hatj + hatk, ...

If `veca= hati +hatj, vecb= hatj + hatk, vecc = hatk + hati ` then in the reciprocal system of vectors `veca, vecb, vecc` reciprocal `veca` of vector `veca` is

A

`(hati + hatj + hatk)/2`

B

`(hati - hatj + hatk)/2`

C

`(-hati - hatj + hatk)/2`

D

`(hati + hatj - hatk)/2`

Text Solution

Verified by Experts

The correct Answer is:
d
`veca' = (vecb xx vecc) / ([veca vecb vecc] ) = (hati + hatj - hatk) / 2`
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CENGAGE PUBLICATION-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercises MCQ
  1. If the vectors veca and vecb are perpendicular to each other then a ve...

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  2. If veca' = hati + hatj, vecb'= hati - hatj + 2hatk and vecc' = 2hati -...

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  3. If veca= hati +hatj, vecb= hatj + hatk, vecc = hatk + hati then in th...

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  4. If unit vectors vec a and vec b are inclined at angle 2theta such t...

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  5. vec a, vec ba n d vec c are non-collinear if vec axx( vec bxx vec c)+...

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  6. Let vec adot vec b=0,w h e r e vec aa n d vec b are unit vectors and ...

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

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  8. If vec axx( vec bxx vec c) is perpendicular to ( vec axx vec b)xx vec...

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  9. If vecp=(vecbxxvecc)/([(veca,vecb,vecc)]),vecq=(veccxxveca)/([(veca,ve...

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  10. a(1), a(2),a(3) in R - {0} and a(1)+ a(2)cos2x+ a(3)sin^(2)x=0 " for ...

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  11. If vec aa n d vec b are two vectors and angle between them is thet...

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  12. Let veca and vecb be two non- zero perpendicular vectors. A vector vec...

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  13. If vector vec b=(t a nalpha,-1, 2sqrt(sinalpha//2))a n d vec c=(t a n...

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  14. Let vecr be a unit vector satisfying vecr xx veca = vecb, " where " |v...

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  15. If veca and vecb are unequal unit vectors such that (veca - vecb) xx[ ...

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  16. If veca and vecb are two unit vectors perpenicualar to each other and ...

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  17. If vectors veca and vecb are non collinear then veca/(|veca|)+vecb/(|v...

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  18. If veca and vecb are non - zero vectors such that |veca + vecb| = |vec...

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  19. Let veca vecb and vecc be non- zero vectors aned vecV(1) =veca xx (vec...

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  20. Vectors vecA and vecB satisfying the vector equation vecA+ vecB = vec...

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