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Find the angle between the vectors: ve...

Find the angle between the vectors:
`vec v underset 1= hat i-2 hat j- 2 hat k` and `vec v underset 2=2 hat i+ 3 hat j- 6 hat k`.

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Find vec v underset 1 . vec v underset 2 when vec v underset 1 = hat i+ 2 hat j+ 3 hat k , vec v underset 2 = -2 hat j+ 4 hat k .

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

Find a unit vector in the direction of the sum of the vectors: vec a= 2 hat i+ 2 hat j+ 5 hat k and vec b= 2 hat i+ hat j- 3 hat k .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find vec v underset 1 * vec v underset 2 when vec v underset 1= 4 hat ...

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  2. Find vec v underset 1 * vec v underset 2 when vec v underset 1= (1,3,5...

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  3. Find the angle between the vectors: vec v underset 1= hat i-2 hat j-...

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  4. Find the angle between the vectors: vec v underset 1= (3,5,4) and ve...

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  5. Find the value of lambda so that the vectors vec a= 3 hat i + 3 hat j-...

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  6. If vec a= 2 hat i- hat j+ hat k, vec b= hat i+ hat j- 2 hat k and vec ...

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  7. Find the value of a for which the vector 3 hat i+ 2 hat j+ 9 hat k and...

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  8. Find the value of a for which the vector 3 hat i+ 2 hat j+ 9 hat k and...

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  9. If (vec a)^2 =(vec b)^2, is it necessary that vec a= vec b ?

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  10. Find the angles which the vector 3 hat i- 6 hat j+ 2 hat k makes the c...

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  11. If vec a and vec b are two vectors such that |quad vec a + vec b|= |qu...

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  12. If vec a and vec b are two vectors such that |quad vec a + vec b|= |qu...

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  13. If vec a is any vector in space, then show that vec a= ( vec a* hat i...

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  14. If the vertices A,B,C of triangle ABC have position vectors (1,2,3), (...

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  15. If hat i+ hat j+ hat k,2 hat i+ 5 hat j, 3 hat i+ 2 hat j- 3 hat k and...

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

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  17. Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on ...

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  18. Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on ...

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  19. Find the projection of vec AB on vec PQ where P,Q,A,B are the points (...

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  20. If A,B,C,D are the points with position vectors hat i+ hat j-hat k, 2 ...

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