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Find the equation of the plane passing t...

Find the equation of the plane passing through the point (3,-3, 1) and perpendicular to the line joining the points (3, 4, - 1) and (2, - 1,5). Also find the coordinates of the foot of the perpendicular, the equation of the perpendicular line and the length of perpendicular drawn from the origin to the plane.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the line passing through the point with position ...

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  2. Find the general solution of the following (1+logx)xdy=ydx

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  3. Find the equation of the plane passing through the point (3,-3, 1) and...

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  4. Find the equation of a plane which bisects perpendicularly the line se...

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  5. Find the equation of the plane through the point (1,4,-2) and parallel...

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  6. If the line drawn from (4,-1,2) to the point (-3,2,3) meets a plane at...

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  7. Find the equation of the plane through (1,5,-2) and parallel to the pl...

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  8. The position vectors of two points A and B are 3 hati+hatj+2hatk and h...

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  9. Find the vector equations of the line passing through the point (1,-1,...

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  10. Find the vector equation of the line through the origin, which is perp...

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  11. The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21, find the...

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  12. Find the vector equation of a plane which is at a distance of 5 units ...

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  13. Find the vector equation of a line passing through the point with posi...

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  14. The foot of perpendicular drawn from the origin to a plane is (12,-4,-...

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  15. The foot of perpendicular drawn from the origin to a plane is (2,5,7)....

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  16. O is the origin and A is (a,b,c). Find the d.c. of OA and the equation...

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  17. Find the equation of the plane whose intercepts on the axes are 3,4,5 ...

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  18. Find the equation of the plane passing through the point (2,4,6) and m...

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  19. A variable plane moves so that the sum of reciprocals of its intercept...

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  20. A plane meets the coordinates axes in A, B and C such that the centroi...

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