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If vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(v...

If `vecr=x(vecaxxvecb)+y(vecbxxvecc)+z(veccxxveca)` and `[veca vecb vec]=(1)/(3)`, then x+y+z is equal to

A

`8vecalpha.(veca+vecb +vecc)`

B

`vecalpha.(veca + vecb + vecc)`

C

`8(veca + vecb+ vecc)`

D

None of these

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The correct Answer is:
A
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VMC MODULES ENGLISH-VECTORS -LEVEL -1
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  4. if veca , vecb and vecc are three non-zero, non- coplanar vectors and ...

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  5. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

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  6. Let veca, vecb and vecc be three units vectors such that 3veca + 4vecb...

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  7. The value of x for which the angle between veca=2x^(2)hati+4xhatj + ha...

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  8. Given three vectors veca=6hati-3hatj,vecb=2hati-6hatj and vecc=-2hati+...

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  10. If unit vector vecc makes an angle pi/3 with hati + hatj, then minimum...

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  11. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecb xx vecc...

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  12. For non-zero vectors veca, vecb and vecc , |(veca xx vecb) .vecc| = |v...

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  13. If veca + 2 vecb + 3 vecc = vec0 " then " veca xx vecb + vecb xx vecc...

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  14. If veca,vecb, vecc are unit coplanar vectors then the scalar triple pr...

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  15. veca, vecb,vecc are non-coplanar vectors and vecp,vecq,vecr are define...

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  16. If |veca|=3, |vecb|=1, |vecc|=4 and veca + vecb + vecc= vec0, find the...

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  17. Let vecb= 4 hati + 3hatj and vecc be two vectors perpendicular to each...

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  18. If vecd=lambda(vecaxxvecb)+mu(vecbxxvecc)+t(veccxxveca).[veca,vecbvecc...

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  19. Let vecb and vecc be non-collinear vectors. If veca is a vector such t...

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  20. Let O be the centre of a regular pentagon ABCDE and vec(OA) = veca, th...

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