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If vec a and vec b are any two vectors, ...

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

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

If vec a and vec b are any two vectors, show that |vec a xxvec b|^2= [[vec a*vec a,vec a*vec b],[vec a*vec b,vec b* vec b]] .

Prove that if vec a,vec b,vec c and vec d are any four vectors, then (vec a xx vec b)*(vec c xx vec d)= [[vec a* vec c vec b* vec c], [vec a* vec d vec b* vec d]]

For any vector, vec a , vec a xx vec a

If vec α and vec β are any vectors, prove that vec β * (vec α xx vec β) =0 .

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If vec a is any vector, then vec a*vec a

If vec a, vecb are non-collinear vectors, then vec a, vecb and vec a +vecb are...........

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PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. If vec r* vec a =0 = vec r* vec b ,where vec a and vec b are non-copla...

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  2. If vec r* vec a =0 = vec r* vec b =0 and also vec r* vec c =0 for som...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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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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