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A particle acted on by two forces 4 hat...

A particle acted on by two forces ` 4 hat i+ 3 hat j` and ` 3 hat i+ 2 hat j` is displaced from the point ` hat i+ 2 hat j` to `5 hat i+ 4 hat j`. Find the totral work done by these forces.

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A particle acted by constant forces 4 hat i+ hat j-3 hat k and 3 hat i+ hat j- hat k is displaced from point hat i+2 hat j+3 hat k to point 5 hat i+4 hat j+ hat kdot find the total work done by the forces in units.

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Find the angle between the vectors hat i +hat j and hat i -hat j

Find the angle between the vectors 2 hat i -hat j+ hat k and 3 hat i +4hat j - hat k

Find the values of x and y so that the vectors 2 hat i +3 hat j and x hat i + y hat j are equal.

Find the projection of the vector hat i - hat j on the vector hat i + hat j

Find the angle between the vectors hat i + hat j-hat k and hat i-hat j+hat k .

Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+ 2 hat j + hat k

If vec a = 2hat i -3 hat j+ 3hat k and vec b =3 hat i- hat j - 4 hat k , find vec a + vec b .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. In each of the following , find the work done by a force vec F acting ...

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  2. In each of the following , find the work done by a force vec F acting ...

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  3. A particle acted on by two forces 4 hat i+ 3 hat j and 3 hat i+ 2 ha...

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  4. A particle is acted upon by constant forces 4hat(i)+hat(j)-3hat(k) an...

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  5. Find vec underset(1)(v)*vec underset(2)(v) if vec underset(1)(v)=3 hat...

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  6. Find vec a* vec b if vec a= 2 hat i+ hat k and vec b= hat i+hat j+hat ...

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  7. If vec a=4 hat i+3 hat j+hat k and vec b=hat i-2 hat k, find | vec a *...

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  8. Evaluate the following products: (3 hat i-6 hat j+2 hat k)*(2 hat i+ha...

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  9. Evaluate the following products: (2 hat i+3 hat j)*(-hat i+3 hat j +ha...

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  10. Evaluate the following products: (2,-1,1)*(3,4,-1).

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  11. Taking vec a= 2 hat i-3 hat j- hat k and vec b=hat i+4 hat j-2 hat k, ...

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  12. If vec a=3 hat i+4 hat j and vec b=hat i-hat j+hat k, find the value o...

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  13. Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k).

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  14. Given |quad vec a|=10,|quad vec b|=2 and vec a *vec b=12, find | vec a...

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  15. Define vec a*vec b where vec a and vec b are any two vectors. Find ve...

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  16. Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 h...

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  17. Find a unit vector perpendicular to both the planes of vec a and vec b...

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  18. Find a unit vector perpendicular to the plane of two vectors a=hat(i)-...

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  19. Find the equation of a plane through the points (3,-1,2), (1,-1,-3) an...

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  20. Find a unit vector perpendicular to each of the vectors hat i+2 hat j+...

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