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If theta is the angle between two vecto...

If `theta` is the angle between two vectors ` vec a\ a n d\ vec b ,\ t h e n\ vec adot vec bgeq0` only when

A

`0 lt theta lt (pi)/(2)`

B

`0 le theta le (pi)/(2)`

C

`0 lt theta lt pi`

D

`0 lt theta le pi`

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The correct Answer is:
B
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MODERN PUBLICATION-VECTOR ALGEBRA -Objective Type Questions (A. Multiple Choice Questions)
  1. Let the vectors vec a and vec b be such that |vec a|=3 and | v...

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  2. Area of a rectangle having vertices : A (-hat(i)+(1)/(2)hat(j)+4hat...

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  3. If theta is the angle between two vectors vec a\ a n d\ vec b ,\ t ...

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  4. Let vec(a) and vec(b) be two unit vectors and theta is the angle betwe...

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  5. Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...

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  6. If is the angle between any two vectors vec a and vec b , t...

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  7. The area of the triangle whose adjacent sides are : vec(a)=3hat(i)+hat...

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  8. The magnitude of the vector 6hat(i)+2hat(j)+3hat(k) is :

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  9. The vector with initial point P(2,-3,5) and terminal point Q(3,-4,7) i...

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  10. The angle between the vectors hat i -hat j and hat j - hat k is

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  11. The value of 'lambda' for which the two vectors : 2hat(i)-hat(j)+2hat(...

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  12. If (2hat(i)+6hat(j)+ 27hat(k))xx(hat(i)+phat(j)+qhat(k))=vec(0), then ...

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  13. If vec(a)=2hat(i)+3hat(j)-hat(k), then |vec(a)| is :

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  14. Write the value of hat(i).(hat(j)xxhat(k))+hat(j).(hat(i)xxhat(k))+ha...

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  15. For mutually perpendicular unit vectors hat(i), hat(j), hat(k), we hav...

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  16. Direction - ratios of vector vec(a)=hat(i)+hat(j)-2hat(k) are :

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  17. If vec(a)=hat(i)+2hat(j), then |vec(a)| is :

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  18. Direction - cosines of vec(a)=hat(i)+hat(j)-2hat(k) are :

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  19. If p hat(i)+3hat(j) is a vector of magnitude 5, then the value of p is...

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  20. If is the angle between any two vectors vec a and vec b , t...

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