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For any three vectors veca , vec b , ve...

For any three vectors ` veca , vec b , vec c` show that ` vecaxx( vec b+ vec c)+ vec bxx( vec c+ vec a)+ vec cxx( vec a+ vec b)= vec0`

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RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. For any two vectors vec aa n d vec b , show that (1+| vec a|^2)(1+| v...

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  2. If veca , vec b , vec c are the position vectors of the vertices A ,B ...

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  3. For any three vectors veca , vec b , vec c show that vecaxx( vec b+ ...

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  4. Show that perpendicular distance of the point vec c from the line joi...

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  5. Prove that the points A ,Ba n d C with position vectors vec a , vec b...

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  6. Let vec a , vec b , vec c are three non-zero vectors such that vec a...

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  7. If vec a ,\ vec b ,\ vec c are three vectors such that vec adot\...

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  8. If vec a , vec b , vec c are three vectors such that | vec a+ vec b+ ...

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  9. Let vec a=2 hat i+ hat k , vec b= hat i+ hat j+ hat ka n d vec c=4 ha...

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  10. A triangle O A B is determined by the vectors vec aa n d vec b as sho...

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  11. If A ,B ,C ,D be any four points in space, prove that | vec A Bxx vec ...

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  12. If vec a , vec ba n d vec c are three non coplanar vectors, then pr...

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  13. Let vec a , vec b , vec c be unit vectors such that vec adot vec b= ...

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  14. Prove by vector method that sin(A-B)=sinAcosB-cosAsinB and sin(A+B)=si...

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  15. In a triangle A B C , prove by vector method that a/(sinA)=b/(sinB)=c/...

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  16. Show that ( vec axx vec b)^2=| vec a|^2| vec b|^2-( vec adot vec b)^2=...

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  17. Given | vec a|=10 ,| vec b|=2 "and" vecadot vec b=12 ,"find"| vec axx ...

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  18. If A(0,1,1),B(2,3,-2),C(22 ,19 ,-5)a n dD(1,-12 ,1) are the vertices o...

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  19. Find the area of the parallelogram determined by the vectors hat i+2 ...

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

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