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In each of the following , find the work...

In each of the following , find the work done by a force `vec F` acting on a particle such that the particle is :
`P(-3,4,1),Q(-1,-1,2)`, `vec F = 3 hat i+ hat j- 2 hat k`.

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In each of the following , find the work done by a force vec F acting on a particle such that the particle is : P(-2,3,0),Q(0,1,2) , vec F = 2 hat i+ hat j- hat k .

Find a vector vec c such that vec c*(hat i+ hat j)= 2 , vec c* (hat i- hat j)=3 and vec c* hat k=0 .

Find the volume of the parallelopied whose co-terminus edges are represented by the vectors vec 1= 2 hat i+ hat j- hat k, vec 2,= hat i + hat 2j+ 3hat k and vec 3 =3 hat i - hat j+2 hat k

Incase of each of the following statements, state whether it is true or false : For any vector vec a,( vec a* hat i)hat i +( vec a* hat j)hat j+ (vec a* hat k)hat k= vec a

Find [vec a, vec b, vec c] if vec a= hati -2 hat j+ 3 hat k, vec b=2 hat i-3 hat j + hat k and vec c=3 hat i+ hat j -2 hat k .

Compute vec a*(vec b xx vec c) where vec a = 2 hat i+ hat j + 3 hat k, vec b= - hat i +2 hat j + hat k and vec c = 3 hat i +hat j +2 hat k .

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = 2 hat i- 3 hat j + 4 hat k, vec b= hat i +2 hat j- hat k and vec c = 3 hat i -hat j +2 hat k .

Find vec a xx vec b , if vec a = - hat i + 3 hat k and vec b = hat i + 3 hat j - 2 hat k .

Find the area of the triangle formed by O,A,B where : vec OA= hat i+ 2 hat j+ 3 hat k , vec OB = -3 hat i- 2 hat j+ hat k

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

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

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

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

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  7. 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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  8. 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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  9. Evaluate the following products: (3 hat i-6 hat j+2 hat k)*(2 hat i+ha...

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

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

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  12. 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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  13. 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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  14. Find the magnitude of vec a=(hat i+3 hat j- 2 hat k)*(-hat i+3 hat k).

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

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

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

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

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

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

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