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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-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  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 nad 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 veca and vecb are inclined at an angle 2 theta such th...

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  5. Differentiate y=cos^4 4x

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  6. Unit vectors veca and vecb ar perpendicular , and unit vector vecc is ...

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  7. If vectors veca and vecb are two adjacent sides of parallelograsm then...

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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)/([vecavecbvecc]),vecq=(veccxxveca)/([veca vecb ...

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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 veca and vecb are two vectors and angle between them is theta , the...

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  12. Let veca and vecb are two given perpendicular vectors, which are non-z...

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  13. If vectors vecb= (tan alpha, -1,2 sqrtsinalpha//2)and vecc= (tanalpha,...

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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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