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If a non-zero vector vec a makes an ang...

If a non-zero vector `vec a` makes an angle `α` with positive direction of x-axis, then `cos α` =.........

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

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  2. If (atimesb)^(2)+(a*b)^(2)=144 and |a|=4, then find the value of |b|.

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  3. If a non-zero vector vec a makes an angle α with positive direction o...

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  4. The values of k, for which |k vec a| lt |vec a| and k vec a =1/2 vec a...

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  5. The vectors vec a=3 hat i+2 hat j+2hat k and vec b=-hat i +2hat k are ...

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  6. If vec a and vec b are any two vectors, then (vec a+ vec b)^2 +(vec a-...

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  7. If vec(a) + vec(b) + vec(c) = 0 and |vec(a)| = 3, |vec(b)| = 5, |vec(c...

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  8. If vec a is a non-zero vector and λ is a real number st. |λ vec a|= 1,...

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  9. If the vectors vec a, vec b, vec c are coplanar then (vec a xx vec b)*...

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  10. The value is (hat k xx hat j)* hat i +hat j* hatk is.............

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  11. Find the projection of the vector hat i - hat j on the vector hat i +...

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  12. In case of each of the following statements, state whether it is true ...

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  13. Incase of each of the following statements, state whether it is true o...

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  14. Incase of each of the following statements, state whether it is true o...

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  15. Incase of each of the following statements, state whether it is true o...

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  16. Incase of each of the following statements, state whether it is true o...

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  17. Incase of each of the following statements, state whether it is true o...

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  18. Incase of each of the following statements, state whether it is true o...

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  19. Incase of each of the following statements, state whether it is true o...

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  20. Position vector of a point P is vectors whose initial point is origin.

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