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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|and|vecrxxvecc|=|vecr|vecc|` then [a b c] is equal to

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 ENGLISH-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercises MCQ
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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= la...

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  5. If 4veca+5vecb+9vecc=0 " then " (vecaxxvecb)xx[(vecbxxvecc)xx(veccxxve...

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  6. value of [vecaxxvecbvecaxxvecc vecd] is always equal to

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  7. Let hata and hatb be mutually perpendicular unit vectors. Then for an...

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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. If vecb and vecc are unit vectors, then for any arbitary vector veca,...

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

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  12. If a(vecalphaxxvecbeta)=b(vecbetaxxvecgamma)+c(vecgammaxxvecalpha)=vec...

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  13. if (vecaxxvecb)xx(vecbxxvecc)=vecb, " where " veca, vecb and vecc are ...

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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 and vecy: vecx+vecc...

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