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Determine the sine of the angle between ...

Determine the sine of the angle between the vectors ( `3 hat i+ 3hat j+ 4 hat k`) and ( `3 hat i-2 hat j - 4 hat k)`.

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SL ARORA-Motion in a Plane-Example
  1. The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and...

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  2. Find a unit vector perpendicular to each one of the vectors vec(a) = 4...

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  3. Determine the sine of the angle between the vectors ( 3 hat i+ 3hat j+...

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  4. Show that (vec(A) - vec(B)) xx (vec(A) +vec(B)) = 2(vec(A) xx vec(B))

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  5. For any three vectors vec(A), vec(B) and vec(C) prove that vec(A) x...

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  6. For any to vectors vec A and vec B, prove that | vec A xx vec B|^2 ...

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  7. Find vec(A).vec(B) if |vec(A)| = 2, |vec(B)| = 5 and |vec(A) xx vec(B)...

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  8. Find the area of the rriangle formed by the tips of the vectors, ve...

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  9. Find the magnitude and direction cosines of the torque about the point...

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  10. Find the area of parallelogram whose diagonals are the vectors 3 hat i...

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  11. In any triangle ABC, prove that a sin A-b sin B -=c sin (A-B).

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  12. If vec a ,\ vec b ,\ vec c are three vectors such that vec adot...

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  13. If vec A=hat i + 2 hat j -3 hat k, vec B =2 hat I -hat j + hat k and...

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  14. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  15. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  16. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  17. A cyclist moves along a circular path of radius 70 m. If he completes ...

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  18. A particle is moving eastwards with a velocity of 5 ms(-1). In 10 sec...

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  19. The position of a particle is given by r = 3t hati +2t^(2) hatj +8 h...

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  20. The position of of a particle is given by vec r =3.0 t hat I + 2.0 t^(...

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