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Let baru,barv,barw be such that abs(baru...

Let `baru,barv,barw` be such that `abs(baru)=1,abs(barv)=2,abs(barw)=3`. If the projection of `barv` along `baru` is equal to that of `barw` along `baru`, and `barvbotbarw`, then : `abs(baru-barv+barw)=`

A

2

B

`sqrt2`

C

`sqrt14`

D

14

Text Solution

Verified by Experts

The correct Answer is:
C
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FIITJEE-VECTOR-ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-I
  1. IF bara,barb,barc are non-coplanar vectors and lamda is a real number ...

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  2. Let X be the midpoint of the side AB of triangle ABC. And Y be the mid...

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  3. Let baru,barv,barw be such that abs(baru)=1,abs(barv)=2,abs(barw)=3. I...

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  4. IF a,b,c are three real numbers not all equal and the vectors barx=aha...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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