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Show that the plane passing through the points (1,1,1), (1,-7,1) and (-7,-3,-5) is perpendicular to zx-plane.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the angle between the planes: vecr.(hati+hatj)=1 and vecr.(hati+h...

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  2. Find the angle between the two planes 3x-6y+2z = 7 and 2x+2y-2z = 5

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  3. Show that the plane passing through the points (1,1,1), (1,-7,1) and (...

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  4. Find the equation of the plane passing through the points (1,-1,2) and...

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  5. Find the equation of the plane passing through the points (-1,1,1) and...

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  6. Find the equation of the plane passing through the line (x-1)/2=(y+1)/...

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  7. Obtain the equation of the plane passing through the point (1,-3,-2) a...

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  8. Find the angles between the line vecr=-hati+hatj+2hatk+lambda(3hati+2h...

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  9. Find the co-ordinates of the point, where the line: (x-2)/3=(y+1)/4=(z...

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  10. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is :

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  11. Find the distance between the point (7,2,4) and the plane determined b...

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  12. Find the equations of two planes through the point (4,2,1),(2,1,-1) an...

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  13. Find the length of the projection of the line segment joining the poin...

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  14. Show that the line L whose vector equation is vecr=2hati-2hatj+3hatk+l...

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  15. Find the equation of plane passing through the point (1,4,-2) and para...

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  16. Find the equation of the planes parallel to the plane x-2y+2z-3=0 and ...

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  17. The planes 2x-2y+4z+5=0 and 3x-3y+6z-1=0 are

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  18. Find the distance between the parallel planes 2x-y+3z+4=0 and 6x-3y+9z...

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  19. Show that the equation of the plane through the line x/l=y/m=z/n and p...

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  20. Two systems of rectangular axes have the same origin. If a plane cuts ...

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