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Find vec v underset 1 * vec v underset 2...

Find `vec v underset 1 * vec v underset 2` when `vec v underset 1= (1,3,5), vec v underset 2= (5,-7,9)`.

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Find the angle between the vectors: vec v underset 1= (3,5,4) and vec v underset 2= (2,-2,1) .

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Find vec underset(1)(v)*vec underset(2)(v) if vec underset(1)(v) = 3 hat i+hat j+2 hat k , ' vec underset(2)(v) = 2 hat i-2 hat j+4 hat k .

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If vec a, vec b and vec c are non-coplanar (independent) vectors, prov...

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  2. Find vec v underset 1 * vec v underset 2 when vec v underset 1= 4 hat ...

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

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

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

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

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

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

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

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

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

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

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

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

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