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Obtain the equation of the plane passing...

Obtain the equation of the plane passing through the point (1,-3,-2) and perpendicular to the plane `x+2y+2z=5` and `3x+3y+2z=8`.

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Find the equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z=5.

Find the equation of the plane passing through the point(-1, 3, 2) and perpendicular to the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

Find the equation of the plane passing through the point ( 1, -1 , 2) and perpendicular to the planes 2x + 3y - 2z = 5 and x + 2y - 3z = 8.

Find the equation of the plane passing through the point (1, -2, 3) and perpendicular to the planes x - y + 2z = 3 and 3x +2y - z = 4.

Find the equation of the plane passing through the point (1, 2, -3) and perpendicular to the planes x + 2y + 3z = 4 and 2x - 3y + 4z = 5.

Find the equation of the plane passing through the point (-1, 2, 3) and perpendicular to the planes x - 2y + z = 3 and 4x + 3y - z = 5.

Find the equation of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the plane passing through the points (-1,1,1) and...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Show that the points P(hati-hatj+3hatk) and Q(3hati+3hatj+3hatk) are e...

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  18. Find in parametric form, the equations of the line x+y+z+1=0, 4x+y-2z+...

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  19. Find the equation of the plane through the line of intersection of the...

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  20. Find the equation of the plane containing the line of intersection of ...

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