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If vec axx vec b= vec cxxvec d and vec a...

If `vec axx vec b= vec cxxvec d` and `vec axx vec c= vec bxxvec d`, show that `vec a- vec d` is parallel to `vec b- vec c` where `vec a != vec d`, `vec b != vec c`.

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PRADEEP PUBLICATION-VECTORS-EXERCISE
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  2. Find the area of the triangle formed by O,A,B where : vec OA= 3 hat i...

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  3. If vec axx vec b= vec cxxvec d and vec axx vec c= vec bxxvec d, show t...

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  7. Calculate the product ((hat i- 2 hat j+ 3 hat k) cross (2 hat i+ hat j...

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  8. If vec a= hat i- 2 hat j+ hat k, vec b= 2 hat i - hat j+ hat k and vec...

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  9. Define the vector product of two vectors vec a and vec b. If vec a = 2...

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  10. If vec a= 2 hat i+ 5 hat j- 7 hat k, vec b= -3 hat I + 4 hat j+ hat k ...

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  11. If G is the centroid of triangle ABC, prove that area triangle AGB = ...

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  12. If D, E, f are the mid-point of the sides of triangle ABC, prove that ...

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  14. If vec a= 2 hat i+ 3 hat j+ 6 hat k, vec b= 3 hat i- 6 hat j+ 2 hat k ...

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  19. Integrate the following int dx/(1-cosecx)

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  20. Find the volume of the parallelopied whose co-terminus edges are repre...

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