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Statement-1 Let three are 2010 vectors i...

Statement-1 Let three are 2010 vectors in a plane such that sum of every 2009 vectors is a multiple of remaining vector and not all vectors are multiple of each other then sum of all the vectors is equal to 0 and
Statement-2 Four or more vectors are always linearly dependent vectors.

A

Statement -1 is true, Statement -2 is true, Statement-2 is a correct explanation for Statement -1

B

Statement-1 is true,Statement-2 is true,Statement-2is NOT a correct explanation for Statement-1

C

Statement-1 is True,Statement-2 is false

D

Statement-1 is false, Statement-2 is true

Text Solution

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The correct Answer is:
B
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FIITJEE-VECTOR-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. IF a,b,c are three real numbers not all equal and the vectors barx=aha...

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  2. Consider triangleABC and triangleA1B1C1 in such a way that bar(AB)=ba...

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  3. Let bara=hati+hatj+hatk,barb=x1hati+x2hatj+x3hatk where x1,x2,x3 in (-...

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  4. Let bara and barb be two vectors of equal magnitude 5units. Let barp,q...

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  5. Consider a parallelogram constructed as 5bara+2barb and bara-3barb whe...

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  6. The vectors vecx and vecy satisfy the equation pvecx+qvecy=veca (where...

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  7. Let bara and barb be two non coplanar unit vectors IF baru=bara-(bara....

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  8. A vector bara has components a1,a2,a3 in the right handed rectangular ...

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  9. Let DeltaABC be given triangle IF |barBA+tbarBC |ge |barAC| for any t ...

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  10. If barr.bara=barr.barb=barr.barc=0 for non-zero vector barr then the v...

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  11. vecr=3hati+2hatj-5hatk, veca=2hati-hatj+hatk, vecb=hati+3hatj-2hatk, v...

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  12. Let bara barb barc be three unit vectors such that |bara+barb+barc|=1 ...

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  13. IF bara=hati+hatj+hatk,barb=2hatj-hatk and barr times bara=barb times ...

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  14. The vector has components 2p and 1 with respect to a rectangular Carte...

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  15. Let bara be a unit vector perpendicular to unit vectors barb and barc ...

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  16. A non-zero vector bara is parallel to the line of intersection of the ...

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  17. phati+3hatj+4hatk and sqrt(q)i+4hatk are two vectors, where p,q ge 0 a...

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  18. Statement -1 If xbara+ybarb+zbarc=0 implies x+y+z=0 where x,y,z are sc...

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  19. Statement-1 Let three are 2010 vectors in a plane such that sum of eve...

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  20. Statement-1 Unit vector Orthogonal to 5hati+2hatj+6hatk are coplanar w...

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