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Find the normal form of the plane x+2y-2...

Find the normal form of the plane `x+2y-2z+6=0`. Also find the length of perpendicular from origin to this plane and the d.c.'s of the normal.

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The correct Answer is:
`-1/3x-2/3y+2/3z=2`, d.c's `-1/3,-2/3,2/3` and length of pependicular `= 2` units
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NAGEEN PRAKASHAN ENGLISH-THREE-DIMENSIONAL GEOMETRY -Exercise 11 D
  1. Find the vector equation of the following planes whose Cartesian equat...

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

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

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

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  5. In each of the following cases, determine the direction cosines of th...

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  6. Find the coordinates of the foot of the perpendicular drawn from the ...

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

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

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

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  10. Find the vector equation of the following plane in non-parametric fo...

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

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  12. Find the vector equation of the plane passing through the points P(2\ ...

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

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

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

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

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

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

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

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  20. Equation of plane passing through the points (2, 2, 1) (9, 3, 6) and p...

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