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Find the angle between the vectors vec a...

Find the angle between the vectors `vec a = 2 vec p + 4 vec q` and `vec b = vec p- vec q` where `vec p` and `vec q` are unit vectors forming an angle of `120^@`.

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A DAS GUPTA-Product of two Vectors-Exercise
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  2. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd then show that veca...

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  3. Find the angle between the vectors vec a = 2 vec p + 4 vec q and vec b...

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  10. If vec a, vec b , vec c are mutually perpendicular vectors of equal ma...

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  11. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

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  12. vec a , vec b and vec c are the position vectors of points A ,B and C...

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  13. Given the vectors vec A , vec B ,a n d vec C form a triangle such tha...

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  14. If AC and BD are the diagonals of a quadrilateral ABCD, prove that its...

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  15. A , B , Ca n dD are any four points in the space, then prove that |...

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  16. If the angle between the vectors x vec i + vec j - vec k and vec i + x...

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  17. If the vector vec a= x vec i + y vec j + 2 vec k is perpendicular to t...

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  18. If vec a is a vector of magnitude 50 and parallel to vec b= 6 vec i - ...

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  19. If vec a , vec b ,a n d vec c are unit vectors such that vec a+ vec ...

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  20. Prove that , vec(a) xx ( vec (b) + vec(c)) + vec(b) xx (vec(c) + ...

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