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If | vec a|=2,\ | vec b|=5\ a n d\ | vec...

If `| vec a|=2,\ | vec b|=5\ a n d\ | vec axx vec b|=8,\ ` find ` veca.vecb`

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RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. Find the area of the parallelogram whose diagonals are: 3 hat i+4 hat ...

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  2. If a=2i+5j-7k ,\ b=-3i+4j+k\ a n d\ c=i-2j-3k ,\ compute ( vec axx ve...

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  3. If | vec a|=2,\ | vec b|=5\ a n d\ | vec axx vec b|=8,\ find veca.v...

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  4. Show that the vectors vec a=1/7(2 hat i+3 hat j+6 hat k), vec b=1/7(3...

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  5. If | vec a|=13 ,\ | vec b|=5\ a n d\ vec adot vec b=60 , t h e n find...

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

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  7. Find the angle between two vectors vec a\ a n d\ vec b , if | vec ax...

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  8. If | vec a|=2,\ | vec b|=7\ a n d\ vec axx vec b=3 hat i+2 hat j+6 ha...

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  9. What inference can you draw if vec axx vec b= vec0\ a n d\ vec adot ...

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  10. If vec a ,\ vec b ,\ vec c are three unit vecrtors such that vec a...

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  11. Find a unit vector perpendicular to the plane ABC, where the coordi...

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

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  13. If vec a= hat i-2 hat j+3 hat k ,\ a n d\ vec b=2 hat i+3 hat j-5 ha...

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  14. For any two vectors vec a\ a n d\ vec b prove that | vec axx vec b|^...

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  15. prove that | vec axx vec b|=( vec adot vec b)t a ntheta,\ w h e r e\ t...

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  16. If | vec a|=sqrt(26),\ | vec b|=7\ a n d\ | vec axx vec b|=35 ,find ve...

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  17. Find the area of the triangle formed by O ,\ A ,\ B\ w h e n\ O A= hat...

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  18. Let vec a= hat i+4 hat j+2 hat k ,\ vec b=3 hat i-2 hat j+7 hat k\ a...

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  19. Find a unit vector perpendicular to each of the vectors vec a+ vec b\...

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  20. Using vectors, find the area of triangle with vertices A(2,3,5), B(3,5...

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