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Find the value of a for which the vector...

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

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the value of lambda so that the vectors vec a= 3 hat i + 3 hat j-...

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

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

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

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

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

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

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

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

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  11. 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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  12. 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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  13. Find the projection (vector) of the vector 7 hat i+ hat j- 4 hat k on ...

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

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

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

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  17. Find the projection of the vector vec a = 2 hat i+ 3 hat j+ 2 hat k on...

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  18. Find the projection of thevector hat i+ 3 hat j+ 7 hat k on the vector...

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  19. Prove that the vectors vec a= hat i- 3 hat j - 5 hat k , vec b= 2 hat ...

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  20. If A,B,C have position vectors (0,1,1),(3,1,5),(0,3,3) respectively, p...

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