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Let vec a , vec b , vec c are three non...

Let ` vec a , vec b , vec c` are three non-zero vectors such that ` vec axx vec b= vec ca n d vec bxx vec c= vec a ;` prove that ` vec a , vec b , vec c` are mutually at right angles such that `| vec b|=1a n d| vec c|=| vec a|dot`

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RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
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  2. Prove that the points A ,Ba n d C with position vectors vec a , vec b...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Find a vector of magnitude 9, which is perpendicular to both vectors 4...

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  19. Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 ...

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  20. For any vector vec a , prove that | vec axx hat i|^2+| vec axx hat j|...

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