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if (vecaxxvecb)xx(vecbxxvecc)=vecb, " wh...

if `(vecaxxvecb)xx(vecbxxvecc)=vecb, " where " veca, vecb and vecc` are non-zero vectors, then

A

`veca,vecb and vecv` can be coplanar

B

`veca, vecb and vecc` must be coplanar

C

`veca,vecb and vecc` cannot be coplanar

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
`(veca xx vecb) xx (vecb xx vecc) = vecb`
` or [veca vecb vecc] vecb = vecb`
` or [veca vecb vecc] =1 `
therefore, `veca , vecb and vecc` cannot be coplanar.
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CENGAGE ENGLISH-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercises MCQ
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  4. If vecr.veca=vecr.vecb=vecr.vecc=1/2 for some non zero vector vecr and...

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  7. If veca and vecb are othogonal unit vectors, then for a vector vecr no...

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  8. If veca+vecb ,vecc are any three non- coplanar vectors then the equa...

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  10. The condition for equations vecrxxveca = vecb and vecr xx vecc = vecd ...

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  11. If veca=2hati + hatj + hatk, vecb=hati + 2hatj + 2hatk then [veca vecb...

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  12. If veca=2hati + hatj+ hatk, vecb= hati+ 2hatj + 2hatk,vecc = hati+ hat...

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  13. Let (veca (x) = (sin x) hati+ (cos x) hatj and vecb(x) = (cos 2x) hati...

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  14. For any vectors veca and vecb, (veca xx hati) + (vecb xx hati) + ( vec...

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  15. If veca,vecb and vecc are three non coplanar vectors and vecr is any v...

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  16. If vecp = (vecbxxvecc)/([vecavecbvecc]), vecq=(veccxxveca)/([veca vecb...

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