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For any to vectors vec A and vec B, pro...

For any to vectors ` vec A and vec B`, prove that
`| vec A xx vec B|^2 = A^2 B^2 - ( vec A. vec B)^2`.

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SL ARORA-Motion in a Plane-Example
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  3. For any to vectors vec A and vec B, prove that | vec A xx vec B|^2 ...

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

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

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

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

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

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

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

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

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

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

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

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

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  18. If the position vector of a particle is given by vec r =(94 cos 2t) ha...

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  19. A boat is moving with a velocity (3hati +hatj) with respect to ground....

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  20. A particle P is moving along a straight line with a velocity of 3ms^(-...

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