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If θ is the angle between two vectors ve...

If `θ` is the angle between two vectors `vec a and vec b`, then `vec a*vec b ge 0` only when

A

`0 lt θ lt pi/2`

B

`0 le θ le pi/2`

C

`0 lt θ lt pi`

D

`0 le θ le pi`

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PRADEEP PUBLICATION-VECTORS-EXERCISE
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  2. Prove that (vec a+vec b)* (vec a+ vec b)=|vec a|^2 +|vec b|^2, if and ...

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  4. Let vec a and vec b be two unit vectors and θ is the angle between the...

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  5. If (hat i, hat j, hat k) are the usual three perpendicular unit vector...

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  8. If vec a, vecb are non-collinear vectors, then vec a, vecb and vec a +...

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  9. The vector veca+vecb bisects the angle between the non collinear vecto...

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  10. If vec r* vec a =0 = vec r* vec b ,where vec a and vec b are non-copla...

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  11. If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for som...

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  12. If vec a and vec b are any two vectors, then (vec a xx vec b)^2 +(vec ...

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  13. If vec a is any non-zero vector, then (vec a*hat i)hat i + (vec a*hat ...

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  14. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

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  15. If (atimesb)^(2)+(a*b)^(2)=144 and |a|=4, then find the value of |b|.

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  16. If a non-zero vector vec a makes an angle α with positive direction o...

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  17. The values of k, for which |k vec a| lt |vec a| and k vec a =1/2 vec a...

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  18. The vectors vec a=3 hat i+2 hat j+2hat k and vec b=-hat i +2hat k are ...

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  19. If vec a and vec b are any two vectors, then (vec a+ vec b)^2 +(vec a-...

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