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Let vecr, veca, vecb and vecc be four no...

Let `vecr, veca, vecb` and `vecc` be four non-zero vectors such that `vecr.veca=0, |vecrxxvecb|=|vecr||vecb|,|vecrxxvecc|=|vecr||vecc|` then
`[(veca, vecb, vecc)]=`

A

|a||b||c|

B

`-|a||b||c|`

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
c
`vecr.veca = 0, |vecr xx vecb| = |vecr||vecb| and |vecr xx vecc|`
`|vecr||vecc|`
` [ veca vecb vecc] =0`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Given veca=xhati+yhatj+2hatk,vecb=hati-hatj+hatk , vecc=hati+2hatj, ve...

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  2. Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(2)hatj+b(3)hatk and vecc=c(...

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  3. Let vecr, veca, vecb and vecc be four non-zero vectors such that vecr....

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  4. If veca, vecb and vecc are such that [veca vecb vecc] =1, vecc= lambda...

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  5. If 4 vec a+5 vec b+9 vec c=0, then ( vec axx vec b)xx[( vec bxx vec c)...

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  6. Value of [ vec axx vec b vec axx vec c vec d] is always equal to ( vec...

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  7. Let vec aa n d vec b be mutually perpendicular unit vectors. Then f...

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  8. Let veca and vecb be unit vectors that are perpendicular to each other...

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  9. veca and vecb are two vectors such that |veca|=1 ,|vecb|=4 and veca. V...

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  10. Then for any arbitary vector veca, (((veca xx vecb) + (veca xx vecb))...

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  11. If veca .vecb =beta and veca xx vecb = vecc ," then " vecb is

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  12. If a( vecalphaxx vecbeta)+b( vecbetaxx vecgamma)+c( vecgammaxx vecalph...

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  13. If veca xx vecb = vecb xx vecc ne 0 where veca , vecb and vecc are co...

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  14. If vecr.veca=vecr.vecb=vecr.vecc=1/2 for some non zero vector vecr and...

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  15. A vector of magnitude 10 along the normal to the curve 3x^2+8x y+2y...

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  16. If veca and vecb are two unit vectors inclined at an angle pi//3 then ...

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

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

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  19. Sholve the simultasneous vector equations for vecx aedn vecy: vecx+vec...

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  20. The condition for equations vec rxx vec a= vec ba n d vec rxx vec c...

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