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Find p if the vectors 2 hat i +3 hat j ...

Find p if the vectors `2 hat i +3 hat j + 6 hat k` and `p hat i+2 hat j-3 hat k` are perpendicular.

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

Find lambda if the vectors vec a=hat i-lambda hat j+3 hat k and vec b=4 hat i-5 hat j+2 hat k are perpendicular to each other.

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Find the value of lambda so that the vectors vec a= 3 hat i + 3 hat j- lambda hat k and vec b= 2 hat i- hat j+ hat k are perpendicular to each other.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Integrate the following int dx/(1-secx)

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  2. What is the cosine of the angle which the vector sqrt2 hat i+ hat j +h...

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  3. Find p if the vectors 2 hat i +3 hat j + 6 hat k and p hat i+2 hat j-...

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  4. Find λ if the vector λ (hat i+ hat j+ hat k) is a unit vector.

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  5. If vec a and vec b are non-zero vectors and the angle θ between them i...

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  6. Write a vector of magnitude 9 units in the direction vector -2hat(i)+h...

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  7. If θ is the angle between two non-zero vectors vec a and vec b , then ...

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  8. If the vectors 3hat i+2 hat j+9 hat k and hat i-2p hat j+3 hat k are p...

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  9. If for any two vectors vec a and vec b, (vec a+ vec b)^2 +(vec a - vec...

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

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  11. If vec a* vec a =0 and vec a* vec b =0, then what can be concluded abo...

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  12. If vec (PQ) =3 hat i+3 hat j+6 hat k and Q is the point (4, 5, 6), fin...

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

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  14. If (vec a+ vec b)*(vec a- vec b)=0 and |vec a|=5, find |vec b|.

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

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  16. What is the angle between two unlike parallel vectors ?

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  17. If vectors vec a and vec b, are such that |vec a| =3,|vec b| =2/3 and ...

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  18. Find the sum of vectors vec a= 2 hati -hat j +hat k and vec b = 2 hat ...

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

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

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