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RD SHARMA-VECTOR OR CROSS PRODUCT -Solved Examples And Exercises
- Show that ( vec axx vec b)^2=| vec a|^2| vec b|^2-( vec adot vec b)^2=...
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- Given | vec a|=10 ,| vec b|=2 "and" vecadot vec b=12 ,"find"| vec axx ...
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- 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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- Find the area of the parallelogram determined by the vectors hat i+2 ...
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- Find a unit vector perpendicular to the plane A B C , where the coordi...
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- Find a vector of magnitude 9, which is perpendicular to both vectors 4...
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- Find a unit vector perpendicular to both the vectors hat i-2 hat j+3 ...
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- For any vector vec a , prove that | vec axx hat i|^2+| vec axx hat j|...
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- Find the magnitude of vec a give by vec a=( hat i+2 hat j-2 hat k)xx...
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- Find vec axx vec b ,\ if\ vec a=2 hat i+ hat k\ a n d\ vec b= hat i...
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- Find lambda and mu if (2 hat i+6 hat j+27 hat k)xx( hat i+lambda hat j...
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- If vec r=x hat i+y hat j+z hat i ,\ find the value of ( vec rxx hat ...
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- Find a unit vector perpendicular to each of the vectors ( -> a+ -> ...
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- Let vec a= hat i- hat j ,\ vec b=3 hat j- hat k\ a n d\ vec c=7 hat...
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- Show that the area of a parallelogram having diagonals 3 hat i+ hat j-...
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- Find the area of the triangle whose vertices are A(3,-1,2),\ B(1,-1,-3...
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- If vec axx vec b= vec cxx vec d\ a n d\ vec axx vec c= vec bxx vec d...
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- Prove that ( vec a- vec b)xx( vec a+ vec b)=2( vec axx vec b) and inte...
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- If vec a= hat i+ hat j+ hat k ,\ vec c= hat j- hat k are given vecto...
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- If vec a= hat i+3 hat j-2 hat k\ a n d\ vec b=- hat i+3 hat k ,\ fin...
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