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Let veca=hati-2hatj+3hatk. If vecb be a ...

Let `veca=hati-2hatj+3hatk`. If `vecb` be a vector such that : `veca*vecb=|vecb|^2` and `|veca-vecb|=sqrt7`, then `|vecb|=`

A

7

B

14

C

`sqrt7`

D

21

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MODERN PUBLICATION-VECTORS-Exercise
  1. The projection of veca=2hati-hatj+hatk on vecb=hati-2hatj+hatk is equa...

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  2. If |veca*vecb|=|vecaxxvecb|, then the angle between veca and vecb is :

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  3. Let veca=hati-2hatj+3hatk. If vecb be a vector such that : veca*vecb=|...

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  4. If veca,vecb,vecc are three non-zero vectors such that each one of the...

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  5. If veca=hati+2hatj+2hatk, |vecb|=5 and the angle between veca and vceb...

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  6. If veca*vecb=0 and veca+vecb makes an angle of 60^@ with veca, then :

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  7. The area of the parallelogram whose adjacent sides are hati+hatk and 2...

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  8. If the projection of vecb on veca is twice the projection of veca on v...

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  9. If (vecaxxvecb)^2+(veca*vecb)^2=144 and |veca|=4, then |vecb|=

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  10. The non-zero vectors veca,vecb and vecc are related by veca=8vecb and ...

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

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  12. If a, b, c and d are the unit vectors such that (atimesb)*(ctimesd)=1 ...

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  13. If vecu, vecv, vecw are non -coplanar vectors and p,q, are real numbe...

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  14. Let veca =hatj-hatk and vecc =hati-hatj-hatk. Then the vector b satisf...

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  15. If the vectors veca=hati-hatj+2hatk.vecb=2hati+4hatj+hatk and vec c=la...

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  16. The vectors veca and vecb are not perpendicular and vecc and vecd are ...

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  17. Let veca=hati+hatj+hatk, vecb=hati-hatj+hatk and vecc=hati-hatj-hatk b...

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  18. If the vectors phati+hatj+hatk,hati+qhatj+hatk and hati+hatj+rhatk(p n...

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  19. Let a,b and c be three non-zero vectors which are pairwise non-colline...

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  20. Let veca and vecb be two unit vectors. If the vectors : vecc=veca+2vec...

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