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Let veca =hatj-hatk and vecc =hati-hatj-...

Let `veca =hatj-hatk` and `vecc =hati-hatj-hatk`. Then the vector `b` satisfying `veca ×vecb+vecc =0` and `veca.vecb = 3,` is

A

`-hati+hatj-2hatk`

B

`2hati-hatj+2hatk`

C

`hati-hatj-2hatk`

D

`hati+hatj-2hatk`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. If a, b, c and d are the unit vectors such that (atimesb)*(ctimesd)=1 ...

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

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

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

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

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

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

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

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

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  10. Let ABCD be a parallelogram such that AB=q, AD=p and angleBAD be an ac...

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  11. If veca and vecb are vectors such that |veca+vecb|=sqrt(29) and vecaxx...

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  12. If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj-4hatk are t...

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  13. Let vec(PR)=3hati+hatj-2hatk and vec(SQ)=hati-3hatj-4hatk determine di...

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  14. If [vecaxxvecb vecbxxvecc veccxxveca]=lambda[veca vecb vecc]^2, ...

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  15. Let veca,vecb and vecc be three non-zero vectors such that no two of t...

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  16. Let veca,vecb and vecc be three unit vectors such that : vecaxx(vecbxx...

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  17. Find the values of 'x' for which x(hati+hatj+hatk) is a unit vector.

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  18. Find the angle between the vectors hati-hatj and hatj-hatk.

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  19. Find |vecaxxvecb| if veca=2hati+hatj+3hatk and vceb=3hati+5hatj-2hatk.

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  20. Show that the following vectors are collinear : 2hati-3hatj+4hatk and ...

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