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Which of the following is true :...

Which of the following is true :

A

1) `hati*hatj =hatj*hatk =hatk*hati=0`

B

2) `hati*hati=hatj*hatj=hatk*hatk=0`

C

3) `hati+hatj+hatk=0`

D

4) None of these.

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MODERN PUBLICATION-VECTORS-Exercise
  1. For a unit vector veca if (x-veca)*(x+veca)=12, then |x| is equal to :

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  2. Projection of vector veca on other vector vecb is equal to :

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  3. Which of the following is true :

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  4. The angle between the vectors veca and vecb such that |veca|=|vecb|=sq...

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  5. If the points A and B are (1,2,-1) and (2,1,-1) respectively, then vec...

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  6. If veca and vecb are vectors such that |veca|=2,|vecb|=3 and veca*vecb...

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  7. The projection of hati-hatj+hatk on hati-hatj is :

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  8. The angle between veca and vecb if vecaxxvecb=veca*vecb is :

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  9. The value of 'lambda' for which the vectors : veca=2hati+3hatj-hatk an...

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  10. If p(hati+hatj+hatk) is a unit vector, then p is equal to :

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  11. The value of 'lambda' for which the vectors : veca=3hati+hatj-2hatk an...

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  12. If veca=2hati+3hatj-5hatk and vecb=hati+hatj-hatk, then veca*vecb is :

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  13. Magnitude of the vector vec(PQ), joining the points P(2,3,0) and Q(1,-...

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  14. If veca*vecb=-|veca|*|vecb|, then theta=,

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  15. If veca is a non-zero vector of magnitude 'a' and 'lambda' is a non-ze...

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  16. The value of hati*(hatjxxhatk)+hatj*(hatixxhatk)+hatk*(hatixxhatj) is ...

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  17. The projection of veca=2hati-hatj+hatk on vecb=hati-2hatj+hatk is equa...

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

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

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

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