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[(veca xxvecb)xx(vecb xx vecc) (vecb xxv...

`[(veca xxvecb)xx(vecb xx vecc) (vecb xxvecc) xx (vecc xxveca) (veccxxveca) xx (veca xx vecb)]` is equal to ( where `veca, vecb and vecc` are non - zero non- colanar vectors).

A

` [veca vecb vecc] ^(2)`

B

`[veca vecb vecc] ^(3)`

C

`[veca vecb vecc] ^(4)`

D

`[veca vecb vecc]`

Text Solution

Verified by Experts

The correct Answer is:
c
`[(vecaxxvecb)xx(vecbxxvecc) (vecbxxvecc) xx (vecc xxveca) (veccxxveca) xx (vecaxxvecb)]`
` [[veca vecb vecc]vecb [veca vecb vecc] vecc [veca vecb vecc] . Veca]`
`[veca vecb vecc]^(3)[vecbvecc veca] = [veca vecb vecc] ^(4)`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
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  2. If V be the volume of a tetrahedron and V ' be the volume of another...

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  3. [(veca xxvecb)xx(vecb xx vecc) (vecb xxvecc) xx (vecc xxveca) (veccxxv...

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  4. If vecr=x(1)(vecaxx vecb) + x(2) (vecb xxvecc) + x(3)(vecc xxveca) and...

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  5. If the vectors veca and vecb are perpendicular to each other then a ve...

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

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

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  8. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

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  9. Differentiate y=cos^4 4x

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

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

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

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  13. If vecP = (vecbxxvecc)/([vecavecbvecc]),vecq=(veccxxveca)/([veca vecb ...

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

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

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

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

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

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

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