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Convert the equation of the plane vecr =...

Convert the equation of the plane `vecr = (hati-hatj)+lambda(-hati+hatj+2hatk)+mu(hati+2hatj+hatk)` into scalar product form.

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The correct Answer is:
`vecr.(hati-hatj-hatk)=2`
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Find the cartesian form of the equation of the plane. barr = (hati + hatj) + s(hati - hatj + 2hatk) + t(hati + 2hatj +hatk) .

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NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Exercise 11 D
  1. Find the vector and cartesian equation of a plane which passes throug...

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  2. Find the Cartesian equtionof the followig plane: vecr=(lamd-2mu)hati+(...

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  3. Convert the equation of the plane vecr = (hati-hatj)+lambda(-hati+hatj...

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  4. Find the vector equation of the plane passing thrugh the points (2,5,-...

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  5. Find the equation of the plane passing through A(2,2,-1),B(3,4, 2)...

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  6. Find the cartesian equation of plane passing through the points (1,1,...

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  7. Find the angle between the folowing planes :- (i) vecr.(2hati-3hatj+...

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  8. Find the value of 'lambda' if the following planes are perpendicular....

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  9. Find the equation of the plane passes through the point (2,3,5) and pa...

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  10. Find the equation of the plane passes through the point (1,-3,1) and p...

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  11. Find the equation of the plane passes through the point (2,1,-2) and p...

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  12. Find the equation of the plane through the points (2,2,1) and (9,3,6) ...

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  13. Find the equation of a plane passes through the point (0 ,0,0) and per...

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  14. Find the equation of the plane passing through the point ( 1, 3, 2)an...

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  15. Find the equation of a plane passing through the intersection of the p...

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  16. Find the equation of a plane containing the line of intersection of...

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  17. Find the equation of the plane passing through the intersection of the...

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  18. Find the equation of a plane passing through the intersection of the p...

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  19. Find the equation of a plane passing through the intersection of the p...

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  20. Prove that the equaton of a plane through point (2,-4,5) and the line ...

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