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If vec a , vec b , vec c are three uni...

If ` vec a , vec b , vec c` are three unit vectors such that ` vecaxx vec b= vec c , vec bxx vec c= vec a, vec cxx vec a= vec b` . Show that ` vec a , vec b , vec c` from an orthonormal right handed triad of unit vectors.

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RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. If vec a=2 hat i-3 hat j+ hat k , hat b=- hat i+ hat k , vec c=2 hat ...

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  2. The two adjacent sides of a parallelogram are 2 hat i-4 hat j+5 hat k ...

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  3. If vec a , vec b , vec c are three unit vectors such that vecaxx ve...

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  4. Find a unit vector perpendicular to the plane A B C , where the coordi...

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  5. Find the angle between two vectors vec a and vec b , if | vec a...

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  6. If vec axx vec b= vec bxx vec c!=0 , then show that vec a+ vec c...

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  7. If |a|=2,|b|=7 and vec a x vec b=3 hat i+2 hat j+6 hat k , find the...

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  8. If | vec a|=2,|vec b|=5 and | vec a xx vec b|=8, find vec a . vec bdo...

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  9. If | vec a|=sqrt(26 ,)| vec b|=7 and | vec axxvec b|=35 , find vec ...

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  10. Define vec axx vec b and prove that | vec axx vec b|=( vec a. vec...

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  11. Find the area of the triangle formed by O ,A ,B when vec O A= hat ...

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  12. If vec a= hat i-2 hat j+3 hat k , and vec b=2 hat i+3 hat j-5 hat k ...

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  13. If a ,b ,c are the lengths of sides, B C ,C A and A B of a trian...

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  14. (22) if vec p and vec qare unit vectors forming an angle of 30^@; find...

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  15. If vec p and vec q are unit vectors forming an angle of 30^0; ...

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  16. Find a unit vector perpendicular to each of the vectors vec(a) + vec(b...

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  17. Find the area of the parallelogram whose diagonals are : 4 hat i- ...

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  18. Find Find the area of the parallelogram determined by the vectors: 2 ...

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  19. Find a vector of magnitude 49, which is perpendicular to both the v...

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  20. If vec a=3 hat i- hat j-2 hat k and vec b=2 hat i+3 hat j+ hat k , ...

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