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If the vectors veca, vecb, vecc are non ...

If the vectors `veca, vecb, vecc` are non -coplanar and `l,m,n` are distinct scalars such that
`[(lveca+mvecb+nvecc, lvecb+mvecc+nveca,lvecc+mveca+nvecb)]=0` then

A

`lm+mn+nl=0`

B

`l+m+n=0`

C

`l^2+m^2+n^2=0`

D

`l^3+m^3+n^3=0`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-VECTORS-Evaluation Test
  1. Given bara, barb, barc are three non-zero vectors, no two of which are...

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  2. If bara,barb,barc are three non-coplanar vectors such that barr1=bara-...

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  3. Let a,b,c be distinct non- negative numbers . If the vectors ah...

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  4. The edges of a parallelopiped are of unit length and are parallel to ...

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  5. If the vectors aoverset(^)i+overset(^)j+overset(^)k,overset(^)i+bovers...

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  6. The value of a so that volume of parallelopiped formed by vectors over...

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  7. If bara.barb=barb.barc=barc.bara=0 then the value of [bara" "barb" "ba...

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  8. Let bara=-overset(^)i-overset(^)k,barb=-overset(^)i+overset(^)j and ba...

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  9. If bara and barb are vectors such that |bara+barb|=sqrt(29) and baraxx...

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  10. If the vectors veca, vecb, vecc are non -coplanar and l,m,n are distin...

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  11. P is any point on the circumference of the circumcircle of DeltaABC. ...

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  12. The three vectors 10overset(^)i+13overset(^)j+16overset(^)k,30overset(...

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  13. If the volume of parallelopiped whose concurrent edges are 3overset(^)...

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  14. If the vectors 5overset(^)i-xoverset(^)j+3overset(^)k and -3overset(^)...

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  15. If the position vector of p is 3barp+barq and barp divides PQ intern...

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  16. A(bara)=3overset(^)i+2overset(^)j,B(barb)=5overset(^)i+3overset(^)j+2o...

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  17. In DeltaABC the mid points of the sides AB, BC and CA are (l, 0, 0)...

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  18. Find the coordinates of the foot of the perpendicular drawn from po...

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