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If vec a is any non-zero vector, then (v...

If `vec a` is any non-zero vector, then `(vec a*hat i)hat i + (vec a*hat j)hat j + (vec a*hat k)hat k` is equal to......

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If vec a is any vector in space, then show that vec a= ( vec a* hat i) hat i+ ( vec a* hat j) hat j+( vec a * hat k) hat k .

Incase of each of the following statements, state whether it is true or false : For any vector vec a,( vec a* hat i)hat i +( vec a* hat j)hat j+ (vec a* hat k)hat k= vec a

If vec a is any vector, then ( vec axx hat i)^2+( vec axx hat j)^2+( vec axx hat k)^2=

Incase of each of the following statements, state whether it is true or false : For any vector vec a , (vec a xxhat i) hat i + (vec a xx hat j) hat j+ (vec a xx hat k) hat k = vec a

If for a vector vec a , vec a*hat i = vec a*hat j= vec a*hat k=0 , then find |vec a| .

For any vector vec a , prove that hat i xx (vec a xx hat i)+ hat j xx (vec a xx hat j) + hat k xx(vec a xx hat k)= 2 vec a

Find a vector vec c such that vec c*(hat i+ hat j)= 2 , vec c* (hat i- hat j)=3 and vec c* hat k=0 .

Find vec a* vec b if vec a= 2 hat i+ hat k and vec b= hat i+hat j+hat k

The projection of vec(a)=2hat(i)-hat(j)+hat(k) on vec(b)=hat(i)-2hat(j)+hat(k) is equal to :

If vec a=4 hat i+3 hat j+hat k and vec b=hat i-2 hat k , find | vec a *vec b| .

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for som...

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

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  3. If vec a is any non-zero vector, then (vec a*hat i)hat i + (vec a*hat ...

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  4. If a is any vector, then (a xxhati)^(2)+(axx hatj)^(2)+(axxhatk)^(2)...

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

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

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

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

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

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

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

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

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

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

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

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

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