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

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

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

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

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

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

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

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

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

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

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

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

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  14. If vec a=2 hat i-3 hat j+ hat k ,\ vec b=- hat i+ hat k ,\ vec c=2 ...

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

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  16. If either vec a= vec 0 and vec b= vec 0 then vec axx vec b= vec0...

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  17. If vec a=a1 hat i+a2 hat j+a3 hat k ,\ vec b=b1 hat i+b2 hat j+b3 ha...

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  18. Using vectors, find the area of the triangle with vertices A(1,1,2),\ ...

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  19. Find all vectors of magnitude 10sqrt(3) that are perpendicular to the ...

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  20. Define vector product of two vectors.

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