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Find th equation of the plane which is a...

Find th equation of the plane which is at distance of 8 units from origin and the perpendicular vector from origin to this plane is `(2hati+hatj-2hatk)`.

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The correct Answer is:
`vecr.(2hati+hatj-2hatk)=24`
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NAGEEN PRAKASHAN-THREE-DIMENSIONAL GEOMETRY -Exercise 11 D
  1. Find th equation of the plane which is at distance of 8 units from ori...

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  2. Find the equation of the plane which is at a distance of sqrt(29) unit...

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  3. The vector equation of a plane is vecr.(hati+2hatj+2hatk) = 12. Conver...

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  4. The vector equation of a plane is vecr.(6hati-3hatj-hatk)+2 = 0. Conve...

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  5. Find the equation of a plane which is a distance of 2 units from ori...

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  6. Find the angle between the planes vecr.(hati+hatj-2hatk)=3 and vecer.(...

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  7. Find the vector equation of the following planes whose Cartesian equat...

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  8. The co-ordiantes of the foot of perpendicular from origin to a plane a...

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  9. Find the normal form of the plane x+2y-2z+6=0. Also find the length o...

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  10. Find the d.c.'s of the normal and length of perpendicular from origin...

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  11. In each of the following cases,determine the direction cosines of the ...

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  12. Find the coordinates of the foot of perpendicular drawn from origin to...

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  13. Find the coordinates of the foot of perpendicular drawn from origin to...

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  14. Find the vector and Cartesian equation of the plane that passes throug...

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  15. Find the vector and cartesian equation of a plane which passes throug...

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

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

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

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

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

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