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If the vectors phati+hatj+hatk,hati+qhat...

If the vectors `phati+hatj+hatk,hati+qhatj+hatk` and `hati+hatj+rhatk(p ne q ne r ne 1)` are coplanar, then the value of `pqr-(p+q+r)` is :

A

2

B

0

C

`-1`

D

`-2`.

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MODERN PUBLICATION-VECTORS-Exercise
  1. The vectors veca and vecb are not perpendicular and vecc and vecd are ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Show that the vectors : 2hati-hatj+hatk,hati-3hatj-5hatk and 3hati-4ha...

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  18. If |veca|=a and |vecb|=b, prove that ((veca)/(a^2)-(vecb)/(b^2))^2=((v...

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  19. If vecr=xhati+yhatj+zhatk, find : (hatrxxhati)*(hatrxxhatj)+xy.

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  20. Find the value of 'lambda' such that the vectors : 3hati+lambda hatj+5...

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